I don't think the Isles (and their new smart GM) care one bit if Hagens used to have NY Islanders bedsheets or whatever? It's cute that the fans talk about a prospect who was a fan of the team growing up, but in reality it has ZERO bearing on the NHL Entry Draft.
So the Isles don't care about Hagens. They are absolutely thrilled to be picking #1 and getting Schaefer.
Now, just coincidentally, at the same time, the Predators happen to want a Center... and they are going to have some number of Hagens, Frondell, McQueen, and Desnoyers available to them at #5 anyway. So the Preds also have no incentive to even TRY to pay a big premium to move up in the draft. The Preds will get their 2nd or 3rd choice probably just by standing pat at #5, they don't need to pay an exorbitant price to try to move any higher.