@Disillusioned JW - you seem to be willing to ignore the fact that biological males have greater mean bone density.
This is very important in violent sports, such as boxing, cage fighting, MMA, karate, rugby, etc.
If a trans-woman (born biological male) undergoes a sex change and injects herself with hormones, she still has the advantage of denser bones because she had the advantage of going through male puberty.
Here's the bottom line - if there are no difference between the sexes, why not just have unisex competitions in sport?
Y'know, Novak Djokovic could face off over 5 sets against Serena Williams. Sounds great.