It wouldn't touch the (non-)issue of trans classification
since the whole basis of the trans claim to compete in female categories is that biology is unimportant in this regard, or at least less important than one's inner "sense of self". So there'd still be plenty of scope for athletes to insist that they should compete in this or that category, irrespective of their sex.
Your proposal is to take something other than sex as the guideline for classificatory boundaries. But what would that be? How granular do you want it? Eventually, you end up saying that there's as many categories as there are people, and in that case competition is meaningless. Or if you try to come up with meaningful categories based on combinations of size, muscle-density, metabolism, and the thousand-and-one other athletically-relevant factors... well, you end up back at sex.
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Enzyme is powered by sunlight, Tue 29 Jun 2021, 10:31,
Reply)
If you remove the existing male and female categories you do address the (non-)issue of trans classification. You can't insist that you should compete in a category that no longer exists.
(, Tue 29 Jun 2021, 10:42, Reply)
All you'd succeed in doing there is ensuring that all elite sport is male.
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Enzyme is powered by sunlight, Tue 29 Jun 2021, 10:55,
Reply)
No, you would have multiple elite categories. Some of those categories would be dominated by athletes currently categorised as "male", some would be dominated by athletes currently categorised as "female" and in between there would be categories where the winners could be athletes from either of the existing categories.
(, Tue 29 Jun 2021, 15:57, Reply)