29 goals last season, 60+ points. Lesser players than that get much more than 3.5-4 in free agency. Bertuzzi just got 5.5 mil after 43 points. Malkin, a better comparison signed for 6+ mil over 4 years recently as a potential comparable..Malkin is better, but that was signed at a lower league cap.
It's definitely leverage that the team holds. But there's going to likely be a bit of tit for tat. Either the team gets the aav they want or the term they want, I don't think they will get both from the player.
I suspect they will do what they just did with Tanev, and give him a longer contract than we will likely end up playing for the lowest potential caphit he's willing to give