Why keep using this language? It's way too broad. Just make it about the body traits that matter for each sport, like weight classes in boxing.

Imagine female center in basketball dunking.

There's no way weight-only classification system is just towards women as testosterone decides a lot in terms of aggression, stamina and drive. Just look at how Emane is beating up those poor girls even though the weight class is the same.

There is simply no way to do this. Even if you control for weight and muscle mass men are far stronger. There is some overlap in the distributions but the peaks for various types of strength are multiple standard deviations apart. We use the language "male and female" because it is useful and descriptive. Pretending they are arbitrary categories is intentional stupidity. It might be interesting to make some sport with a really complicated set of rules that levels the playing field, but I doubt many athletes would want to play it. Sports may develop complex rules but they usually have easy to understand objectives. Jump far, jump high, arrive first etc.