But you still haven't explained why they wind up with the brain of a perverted nymphomanic instead of a church lady.
You mean, like this one?
Or perhaps this one?
Or maybe this one?
Ok, maybe this one looks a bit disreputable.
Of course, she's the one who's biologically female. But she too has the 46xy chromosomes normally only found in males - as did Miss Teen USA 1991. She's Intersexed, with a body that doesn't quite conform to either a completely male nor completely female norm. But without a Karyotype (gene test) even her OB/GYN couldn't tell that.
It's more complicated than you think.
About half the baby "girls" born with 5-alpha-reductase-2 deficiency syndrome masculinise at puberty. They get a natural sex change. Of those that do, about 2/3 are actually boys with transsexuality, and for them, it's great. A cure for being transsexual. For the 1/3 that are girls though... it's a nightmare. Unless they get surgery to stop this awful change, they usually kill themselves.
So which group is "delusional", the ones who want to stay the women they were born as, or the boys who finally get to grow a, well, whose genitalia and body changes to match their brains?