"At some point during my development I gained a strong repulsion from the particular cultural bundle labeled with the gender which matches the dominant one for my sex."
But that's way too broad IMO.
I mean, I have an Y chromosome. I have male genitalia and no desire to ever change this. (I also happen to have quite a few traits that are way more common among males than among females, e.g. being about 1.88 m (6'2") tall, having a baritone vocal range, having quite a lot of terminal facial and body hair, and being sexually attracted to women.) I find calling myself male a quite reasonable way of summarizing that info.
But I find claims that all this means that my long hair/dislike of football/low aggressiveness/finding it easier to befriend women than men/etc.¹ are somehow suboptimal or make my maleness any less valid to be preposterous and/or offensive. ("So I guess your wooden leg makes you a table." -- Frank Zappa) IOW I do have “a strong repulsion from the particular cultural bundle labeled with the gender which matches the dominant one for my sex”. But I don't see any particular need to throw the baby away with the bath water and stop calling myself a man.
(As for neurological differences, I haven't got a brain scan in the couple few decades, but FWIW my girlfriend is a heterosexual female neurologist.)
And I think that once one knows all this about me, there's no question left to ask whether I actually am a man.
I don't entertain ideas about my gender identity at all, and don't understand people who do. Perhaps as a small child I might have done that, but don't remember a single instance.
This might make me jump to the conclusion that gender identity isn't important to me, but I think it's just as possible that being a man is invisible to me, since there's no cognitive dissonance whatsoever. Listing characteristics that are important for being a man would be quite difficult for me.
I could list many things that women usually do that I dislike, but I can think of many other reasons other than femininity for why I dislike them.
Rationality quotes time!
The usual rules: