Most certainly it does not <3I echo your points exactly.
My MIL had to undergo a radical mastectomy and hysterectomy. It doesn't make her less of a woman.
It is such a curious point in time to be in though. If someone wants to remove their penis and have it mutilated into a vagina we call it living their truth and creating the body and gender they truly are. But if I went to the doctor and I am extremely depressed because my leg or my eye feels alien to me and isn't the body I am supposed to have, can you chop it off/out, they'd send me to a mental institution faster than you could say gender. What's the difference? Woke culture and fear of being cancelled essentially.