….then your conclusion will be:
The reason elite international chess has some gendered categories is for positive discrimination; there’s a huge drop-off of girl chess players around the age of 13, and there’s a lot of evidence that where boys are steered towards the game, girls are steered away from it. It’s not a biological issue but a social one. The gendered categories are designed to boost inclusion of people who are not cisgender men, which of course is a category that should include trans women.
By observation we note that top chess players are real weirdoes. More men are weirdoes in this systemising thing that makes you good at chess. The reason for having the female category is so that some women, sometimes, can win something.
Having tackle cut off does not change that mental weirdness. Thus the continued distinction.
Amusingly, those who really are mentally women shouldn’t have the extreme systemising weirdness to be good at chess so therefore we should allow trans into women’s. It’s just that no one actually believes that “really are”.