The reason for a separate women's category in FIDE's chess competitions is different to athletic sports - it was introduced to encourage female participation in what was an overwhelmingly male-dominated field.
As an example, here's what women in chess have to deal with: https://www.fide.com/fides-statement-on-sexist-remarks/
That statement makes the point that FIDE are well aware this is a problem, and is one they're trying to solve:
"FIDE not only strives to increase women’s representation in professional sports and official positions but also to change the perception of chess as purely a men’s world. Our community has to be a place where women feel safe and respected. Therefore, any action that carries disrespect, sexism or physical, verbal or emotional assault is unacceptable."
Now, some people might argue that if a male competitor claims to have a woman identity, whatever that is, then that player should be permitted to compete alongside women. Given their aim of increasing female participation in chess, FIDE have been somewhat more skeptical of this argument, as you can see in the policy you linked.
> but throwing out claims that are easy to state and hard to rebut (without stooping to the "fight rhetoric with rhetoric" level) does not encourage thoughtful discussion.
I made a comment about the perspective of World Athletics on this, and linked to their statement as evidence. Why would you feel the need to rebut this? Instead of considering it thoughtfully.
As an example, here's what women in chess have to deal with: https://www.fide.com/fides-statement-on-sexist-remarks/
That statement makes the point that FIDE are well aware this is a problem, and is one they're trying to solve:
"FIDE not only strives to increase women’s representation in professional sports and official positions but also to change the perception of chess as purely a men’s world. Our community has to be a place where women feel safe and respected. Therefore, any action that carries disrespect, sexism or physical, verbal or emotional assault is unacceptable."
Now, some people might argue that if a male competitor claims to have a woman identity, whatever that is, then that player should be permitted to compete alongside women. Given their aim of increasing female participation in chess, FIDE have been somewhat more skeptical of this argument, as you can see in the policy you linked.
> but throwing out claims that are easy to state and hard to rebut (without stooping to the "fight rhetoric with rhetoric" level) does not encourage thoughtful discussion.
I made a comment about the perspective of World Athletics on this, and linked to their statement as evidence. Why would you feel the need to rebut this? Instead of considering it thoughtfully.