Not necessarily. Think about it: You play a character straight for decades, because anything else would be forbidden. You ask the creator of the show to involve gay characters in the show, but are turned down repeatedly. So you continue to play the character straight, because anything else would mean unemployment, cancellation, being outcast.
Finally, social acceptance gets to the point where it's safe enough to come out, and you do so some 40 years after you began playing that character. You gain notoriety from this decision, and so it becomes a part of your identity, character and all. Now a new guy comes along playing a modern version of your character, except that this Sulu is gay. He gets to play Sulu as gay, Sulu gets to be himself without shame, without having to play to stereotypes. Can you honestly tell me that it wouldn't bother you just a little bit? That you wouldn't find it remotely incensing, or perhaps be a little bitter from it?