1) Read full version of first study. And you can check other studies of Cashdan and many other about this topic. At least just fucking google "are men more competitive than women"
2) "On top of this, the biologically female players are on average better than any trans player right now, so what are we even arguing here?" Only 2 trans players in CS pro scene and a few in Valorant, but you talk about average? And yeah best "female" cs player - trans, best "female" valorant player - trans
3) even despite the sad state now, but in the past the educational system in USSR was one of the best, so we have it's remnants. But Australia has never been famous for its educational system, especially considering the modern censorship in your science