Hard to compare the NFL in that QBs have radically different value than every other player. You either have a franchise QB or you’re looking for one.
In the NHL, in a league wide re-draft i’d imagine you’d have 10 centers and 10 d drafted before the 5th winger. In the NFL, you’d have 12 QBs taken before 12 players at the other 21 positions.
I can see a decent argument for taking a 1C over a 1D. 1Cs tend to develop more consistently (Ekblad, Power, even Dahlin who was the highest projected D I can recall), are good players, but only Dahlin has a shot at a Norris. Top pairing D are also comparatively easier to find outside the top 5 picks (Faber, Lacombe, Hutson as very recent examples). The only current #1 dmen drafted top 4 are Dahlin, Heiskanen, Makar, and Hedman. Shutout to Doughty but his #1 days are over. Top 10 picks include Seider, Werenski, Hughes, Hanifin, Pietro, Hughes, and Sanderson. Other first rounders are Theodore, McAvoy, Carlsson, Karlsson, Bouchard, and Dobson.
For #1 centers: McDavid, McKinnon, Hughes, Hischier, Celebrini, Bedard, Tavares, Crosby, and Matthews were drafted at #1, and if not for guys on this list Eichel and Barkov would have been. Then you’ve got Draisaitl and Stuzle with 3rd OA. Point, Aho, Suzuki, and Hintz are the only guys I’d have ahead of Celebrini and Bedard top 15 (all near the bottom), who are not #1 picks. The field of the other 223 picks does have Cooley (3), Petterson (5), Scheifle (7), Kopitar (11), Thomas, Larkin, Hertl. If you need a franchise C, you get them top 3, and more than half the time you need to draft them at 1.
A less good but potentially relevant argument is forwards sell tickets. Also with 25 year old Dobson and Romanov, and 27 year old Barzal and 30 year old Horvat as their top skaters, I could see wanting a bit more youth at forward. The weakest argument is to draft the rare elite prospect who grew up cheering for your franchise growing up. It’s different in that he was the best prospect, but I have to admit I have a tiny bit of pride that Celebrini spent a year as a junior shark, and he has some Bay Area ties. However, I’d take a guy from Timbuktu if he was better, so this is pretty irrelevant. The ‘wore our pajamas’ thing probably doesn’t hurt retention, but there are other things you can do keep your top players, namely win.
All this makes it a bit closer, but I still think in spite of the injuries, Schaefer is a more valuable prospect. If NY agrees, they’ll pick him regardless. If it’s a truly split decision, sure I’d throw them Dallas 1st and a bit more, but if you’re 51/49 Schaefer, 28-32nd overall shouldn’t say you being able to say we got our guy.