The hell if I know. He plays well when he's engaged and working hard on the ice, he just very rarely looks like he has any desire to do that. I don't know how much of that had to do with his relationship with the organization (training staff) souring after his failed shoulder surgeries, if any. He's always been a bit of a floater that doesn't look like he even wants to be out there, but he used to be able to turn nothing into something and make you forget the fact you didn't notice him for the first 55 minutes of a game.
The little bit I saw of him in New York, he seemed to play a lot more engaged, but he still took long stretches off like he always has. Basically a long-winded way to say Vladi plays motivated when Vladi wants to play motivated. I don't think who else is in the room makes a difference.
I also wouldn't worry about it because there's no way he signs for anything close to what Tampa could afford.