Look at Pearson finalists and see where the deviations from top-3 in points are.
2006: Top-3 in points were the finalists.
2007: Crosby/Lecavalier were top-3 in points, and then Luongo rounds it out. Thornton had 6 more points than Lecavalier did, but Lecavalier was the best goalscorer in the league (as opposed to Thorntons 92 points), and he made the Pearson finalist.
2008: Top-3 in points were the finalists. Interesting to note that Iginla got the finalist nod over Datsyuk who had 1 point less, but 19 less goals. Datsyuk was the best defensive forward in the league - but being the best goal scorer > best defensive forward in this case clearly.
2009: Top-2 in points were finalists. Datsyuk (4th in points) did get the finalist nod over Crosby (3rd in points). Noteworthy that Crosby and Datsyuks goalscoring was equal - so this argument would actually be that Datsyuks defensive side put him over the edge since everything else was equal. Also note that even though Malkin had 3 more points than Ovi (slightly lower points/gp), Ovechkins huge goal dominance (21 goals over Malkin) is what won Ovi the Pearson.
2010: Top-3 in points were the finalists.
2011: Sedin and Perry were finalists and top-3 in points. Stamkos (who was 2nd in goals) got the other finalist spot (5th in points) over St Louis and H Sedin who both had more points (and were #1/2 in assists). Seems easy to say that his goalscoring was much more valued.
2012: Malkin and Stamkos got nominated, Giroux who was also 3rd in points (2nd in assists) and had a better point/gp than Stamkos (and only 4 less points) got left off the Pearson finalist compared to Stamkos who had a world-class goalscoring season despite very close overall in points/p/gp).
2013: 4 players in top-3 cause of tie for 3rd. Ovi lead in goals, Crosby lead in points/gp, and St. Louis lead in points - those 3 got nominated. Stamkos left off.
2014: Top-3 in points were the finalists.
2015: Price wins Pearson, and Benn (Art Ross), and Ovechkin (1st in goals but only 4th in points) get the other 2 Pearson nominations. Ovechkin also finishes 2nd in Hart - cementing him as the #1 forward that year. So despite Ovi finishing 4th that year in points, his goal dominance is clearly seen as more valuable.
2016: Top-2 in points were the finalists (with Holtby as a goalie rounding it out)
2017: McDavid and Crosby were top-2 in points and also 2 finalists. Note that Burns was the other finalist despite only scoring 4 more points than Hedman (who is a way better defensive D-man). The big difference between Burns and Hedman? Burns had 29 goals and Hedman had 16.
2018: McDavid wins (art Ross win), with Hall and Mackinnon rounding out the finalists. Weird AF year since neither Hall or Mackinnon were that great defensively (and Kopitar won the Selke despite having 1 less point than Hall). Clear that goalscoring, playmaking or defensive play had no bearring here to put anyone above anyone else.
2019: Top-3 in points were the finalists.
2020: Finally the first example where playmaking is clearly seen as more valuable. Drai wins (1st in points), McDavid who is 2nd in points (and assists) left off (largely because of split votes with Drai and not because of lower goalscoring). And then Panarin and Mackinnon round out finalists over Pastrnak despite Pastrnak having same/more points and more goals.
2021: McDavid wins (huge point lead), and Draisaitl who was 2nd in points gets votes split. Matthews gets a nomination despite being 5th in points and hardly any assists - but had a huge goalscoring lead. Crosby rounds it out, was 10th in points, 13th in goals, and 14th in points. He also wasn't any better defensively than Marchand (3rd in points) or Stone (3rd in Selke voting and only had 1 less point) - so clearly a name-recognition finalist when you break it down. Either way - clear that goalscoring was favorited in the Pearson placing when you look at Matthews
So yes - I think there is pretty good proof that goalscoring is seen as more valuable (not only statistically/mathematically, but also perception).
2022: Matthews wins despite only finishing 6th in points (note he had a killer goalscoring year). McDavid (art ross) is a finalist, and Josi is a finalist.
2023: Mcdavid wins (huge point lead, 1st in goals). Karlsson is a finalist as well. Pastrnak takes the last finalist spot (tied with Kucherov for 3rd in points). Pastrnak clearly got it due to his 61 goal season despite Kucherov having the same points (Mackinnon having also having 2 less points). Main difference being that Pastrnak had a huge goal lead on those 2.
2025: Mackinnon and Kucherov were #1 and #2 in points. Matthews had waaaay less points than McDavid, but also had a huge goal lead that year and over double the goals than McDavid (despite McDavid hitting that legendary 100 assist mark).
It's clear from the post above that when it comes down to determining the best/most valuable player, assist hold as much weight as goals. As for how much thought goes into who gets picked after that, is debatable.
For each year, you can give a nod to overall points, playmaking or goalscoring in terms of Hart/Lindsay recognition.
2005/06:
Overall points -Thornton won the Hart on the strength of his playmaking while Jagr won the Lindsay as an overall offensive force, as he was his whole career. Ovechkin's goalscoring got him the Lindsay nomination.
2006/07:
Overall points -Crosby win the Hart and Lindsay primarily on the strength of his playmaking while Lecavalier gets a Lindsay nomination primarily on the strength of his goalscoring.
2007/08:
Overall points/Edge to Goalscoring -Ovechkin wins the Hart and Lindsay on the strength of his goalscoring, Malkin gets Hart/Lindsay nods primarily for his overall offense while Iginla gets a Lindsay nomination on the strength of his goalscoring. The possibility of Datsyuk getting Hart and Lindsay recognition are likely affected by Zetterberg's season, not a preference for goalscoring over defensive play.
2008/09:
Overall points/Edge to Playmaking: Ovechkin wins the Hart and Lindsay on the strength of his goalscoring, Malkin gets Hart/Lindsay nods primarily for his playmaking while Datsyuk gets Hart/Lindsay nominations on the strength of his playmaking/defensive game.
2009/10:
Overall points/Edge to goalscoring - Ovechkin wins the Lindsay on the strength of his goalscoring, Sedin win the Hart on the strength of his playmaking, and Crosby gets nods primarily on the strength of his goalscoring.
2010/11:
Overall points - Sedin wins the Lindsay on the strength of his overall offense, Perry win the Hart on the strength of his goalscoring, Stamkos gets a Lindsay nod on the strength of his goalscoring, and St. Louis gets a Hart nod for his playmaking.
2011/12:
Overall points/Edge to goalscoring - Malkin wins the Hart and Lindsay on the strength of his overall offense with an edge to his goalscoring, Stamkos gets Hart/Lindsay nods on the strength of his goalscoring.
2012/13:
Overall points - Ovechkin wins the Hart on the strength of his goalscoring, Crosby win the Lindsay on the strength of his playmaking, St. Louis gets a Lindsay nod for his playmaking, while Tavares gets a Hart nod for his goalscoring.
2013/14:
Playmaking - Crosbys win the Hart/Lindsay primarily on the strength of his playmaking, Getzlaf and Giroux get nods for their playmaking
2014/15:
Overall points/Edge to goalscoring - Ovechkin gets Hart/Lindsay nods on the strength of his goalscoring, Benn gets a Lindsay nod primarily on the strength of his playmaking, and Tavares gets a Hart nod primarily on the strength of his goalscoring. Benn would have gotten a Hart nod if not for his team missing the playoffs.
2015/16:
Overall points/Edge to goalscoring - Kane wins the Hart/Lindsay on the strength of his overall offensive game, Benn gets Hart/Lindsay nods primarily on the strength of his goalscoring, Crosby gets a Hart nod on the strength of his overall offensive game.
2016/17:
Overall points - McDavid wins the Hart/Lindsay on the strength of his playmaking, Crosby gets Lindsay/Hart nods on the strength of his goalscoring.
2017/18:
Overall points - McDavid wins the Lindsay with an edge to his playmaking, Hall wins the Hart with an edge to his goalscoring, MacKinnon gets Hart/Lindsay nods for strength of his overall offensive game and Kopitar gets a a Hart nod on the strength of his overall offensive game/defensive game
2018/19:
Overall points/Edge to playmaking - Kucherov wins the Hart/Lindsay on the strength of his playmaking, McDavid gets Hart/Lindsay nods with an edge to his playmaking, Kane gets a Lindsay nod on the strength of his overall offensive game, while Crosby gets a Hart nod primarily based on his playmaking/defensive game.
2019/20:
Overall points/Edge to playmaking - Draisaitl wins the Hart/Lindsay on the strength of his overall offensive game, MacKinnon gets Hart/Lindsay nods strength of his overall offensive game, Panarin gets Hart/Lindsay nods on the strength of his playmaking.
2020/21:
Overall points/Edge to playmaking - McDavid wins the Hart/Lindsay on the strength of his overall game with a clear edge to his playmaking, Matthews gets Hart/Lindsay nods on the strength of goalscoring, MacKinnon gets a Lindsay nod strength of his playmaking, Crosby gets a Lindsay nod on the strength of his overall offensive game.
2021/22:
Overall points/Edge to goalscoring - Matthews wins the Hart/Lindsay on the strength of goalscoring and McDavid gets Hart/Lindsay nods on the strength of his overall game with a clear edge to his playmaking.
2022/23:
Overall points/Edge to goalscoring - McDavid wins Hart/Lindsay on the strength of his overall game. Pastrnak gets Hart/Lindsay nods on the strength of his goalscoring, Tkachuk gets a Hart nod on the strength of his overall game with an edge to his playmaking.
2023/24:
Overall points/Edge to playmaking - MacKinnon wins Hart/Lindsay on the strength of his overall game. Kucherov gets Hart/Lindsay nods on the strength of his playmaking. McDavid gets a Hart nod on the strength of his playmaking, and Matthews gets gets a Lindsay nod on the strength of his goalscoring,
Here are the number of times a player got recognized for their:
Playmaking - 22 times
Goalscoring - 20 times
All around offensive game - 16 times