But that's the false part. If you take a woman and a man of equal weight or height, at the
world-class level there are going to be many, many men who are going to be better than the best woman in almost any sport. You mention boxing...there would be hundreds of flyweight or featherweight professional boxers would destroy the best woman of equal weight. Can you imagine Manny Pacquiao (who is 5'5") losing against any 5'5" woman in a 10-round fight?
Here's another example...from tennis. There is a new ranking system that ranks women and men on the same scale...(
http://www.myutr.com). Serena Williams is tall, talented, skilled. She's 5'9" and strong. Serena Williams as a UTR of 13.33. But there are a dozens of top pro men who are similar if not smaller in stature than Serena Williams who have UTRs much higher than Serena's. Like Diego Schwartzman who is 5'7", 141 pounds but ranked 23 in men's tennis and has a UTR of 15.42. Even a 1 point UTR gap implies that the better player would completely dominate the inferior player. And there are tons of men who are similar to Diego Schwartzman in stature who have a higher UTR than Serena. So equalizing for height /weight doesn't work either. Maybe in her height class, she'd be in the top 30...maybe.
I know we want to believe that we can come up with some system that would equalize women and men in sport. But at the top levels of sport, men just get too many advantages from the testosterone during puberty that even the best women athletes can't match.