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There are no Platonic sexes that exist outside of sexed bodies. Every sexed body is its own sex, its own cluster of characteristics — DNA, chromosomes, gametes, gonads, internal and external genitalia, bone structure, fat and hair distribution — that combine to make up our sexes. Of course, the great majority cluster closely around one or other of the two phenotypes that can take part in reproduction, that we call "female" and "male", but that doesn't make them "better" or more valid than any of the others. Meanwhile, gender identity, like sexual orientation, is in the brain.
Each sport was dealing with its own issues around sex and physical prowess in its own way. They don't need a one-size-fits-all regulation imposed from above, and certainly not by politicians with cultural and religious issues.