I'd have to say the exact opposite.
He's indicated that he'd accept a trade to the Dodges, Yankees, Astros, or Cubs—all young, highly successful organizations either just-off or seemingly on-the-cusp-of winning the World Series. As someone who signed a contract to stay in Miami—showing loyalty to his organization despite its smaller market and lower profile—and who is now being pushed out of said organization, this seems like an example of a player using a NT for entirely reasonable ends, neither "entitled" nor cash-grabbing nor vindictive.
If he's going to be summarily exiled from his first and only organization, why shouldn't he seek out a situation with a high likelihood of competing now, while he's still in his prime? It's not his fault the Marlins boxed themselves into a corner and acceded to his NT-clause demands.