What deep-seated and conflicting beliefs come into play here? This doesn't need to be about transgender issues, that's just where it comes up a lot (for obvious reasons).
If I get to say that I want people to use masculine pronouns and correct people when they refer to me as "her" or "she", that seems reasonable to me. And it sounds like it seems reasonable to you too.
That seems like a solid case for saying "people should get to choose their pronouns". I choose masculine ones. Somebody else might make a different choice, but it doesn't become "special treatment" just because they're making a different choice.