It sounds like the answer is they wouldn't. Thought with Little coming back that he might be expendable. Guess not.
That said if Perrault was traded I don't see his value being more than that. Guess you're saying you'd only move him for an overpayment. That's ok, we'all look elsewhere.
Whether he goes for more or less I have no idea. But if he goes it will be in a hockey trade.
Jets will not treat a guy they re-signed to a 4 year deal as surplus before that contract even comes into effect.
Perreault is, at least at this point in his career, a highly effective player. But probably just as important, he is a guy that Jets management have chosen to keep around to set a good example for all their young forwards.
There are some veteran forward that are, in all honest, already surplus. Burmistrov, Stafford and Thorburn are on that list.
After Wheeler and Little (and Scheifele if you count him a vet) Perreault is the Jets most important veteran forward.