Yes, I get that.
Presumably, there will be sport(s) where women are naturally at an advantage (not being a Sports Fan, I don't know which).
But, isn't this the nature of the beast, ie, whichever "solution" is proposed, appears to dis-advantage a group or section of the population.
So, it would appear to me, each sport will "polarise" to be dominated by whichever group has a "natural" advantage.
Again, I repeat, I am not a sports fan, but, isn't (say) being tall and advantage in basketball?, so, people of short stature (regardless of gender) are "dis-advantaged, which is basically similar to what I am suggesting should continue.
I don't know whether you are being serious or not. You don't have to know anything about sport, just human physiology, to understand that certain, if not most, sporting activities favour men over women.
Yes, basketball favours tall people, as weightlifting favours strong people, high-jumping favours those with long legs, and archery favours people with good eyesight but difference in abilities are the essence in any sport when striving for success.
To equate these performance differentiating factors within the same sex with differences between sexes is just plain daft or attempting reductio ad absurdum.
Shorter people can, for instance, have dozens of alternative sports they can and do try other than basketball, but if women have a level of sporting ability, or not, and want to compete with any chance of success they are extremely limited on what they can take up.
It is not about creating a situation where no individual feels disadvantaged in participating in a sport, but one where roughly half the population will be disadvantaged.
It will lead to a huge drop off of women taking up sport whereas differing abilities in the same sex provides little or no barrier to participation.
I watched the Wales/Scotland women's rugby international yesterday and enjoyed the skill and tension, even though both sides would have been slaughtered by a men's team, and I guarantee none of those women would have taken up that sport and enjoyed its benefits in adulthood if it was mixed.