You clarified it quite well and, assuming those raising objections weren't just picking nits, that's precisely what my earlier post meant.
One is what one's birth gear says one is, and all the surgery and/or crossdressing in the world won't change that.
I could dye my skin black and wear my caps sideways, but underneath I'd still be a medium sized white boy who hates rap and can't play basketball worth a damn ;-)
Not picking nits, but making a point about using language with strict accuracy. Another example is using the word “sex,” not “gender,” to identify biological reproductive dimorphism.
An adult human is either a man or a woman. If Bruce Jenner is not a man, then Bruce Jenner is a woman. (Is Caitlin his legal name, or just his stage name?) I understand the point one is attempting to make by using the adjective, “male,” in place of the noun, “man,” but an adjective doesn’t fly on its own. “Male human” = “man.”
Given an inch on this is a philosophical and tactical mistake, in my opinion.