If they do that, they'll be going way off the board. Eiserman has fallen sharply on all the public lists and it also sounds like he's fallen on all the scouts' private lists based on what we can glean from insiders. If the logic is what you say "upside and being safe, with an NHL role no matter what that the team will love," then I think they go Lindstrom or Dickinson and both of those would be better than Eiserman, who lacks a complete game, size, or speed.
Dickinson and Lindstrom both have size, speed, and a reasonably well rounded game, and both are criticized for maybe not having enough upside to be selected 2-4 overall, but they still have high ceilings while being safe. They describe your draft thesis to a T.