The Rangers will give him the top 6 minutes. Vesey would not have the Rangers on his list if that was not the case.
Vesey and his camp don't really know at this point. They are not allowed to talk to anyone else besides Buffalo. Of course that will change in 5 days when he becomes a UFA.
Vesey might have those teams on his radar. That doesn't mean he's on their.
I'm not sure what he's looking for and what criteria teams must meet. But I wouldn't mind seeing NJ land a young forward for nothing. Even if he isn't to become a star it's still a young solid player for nothing.
I think Vesey sees a team like the Devils, on the rise. They have brought in good, young players and have a lot of cap space going forward. What a team will look like in three years is probably very important to Vesey. His contract will be up, and it will be time to negotiate a new one.