You might have a case with physical sports, maybe (IDK anymore; used to think women were not able to be as physical strong as men due to physiology, but even that seems like it is inaccurate with new studies),

I feel like the fact that the top leagues in most sports are open to both genders but it's basically unheard of for females to be even close to be good enough to join, proves there is a massive difference at those levels.

For example women can play in the NBA, some have tried, only one or two got close, but none have played a game.

What research are you referring to that says there is no advantage?