I always thought the more elegant approach to all of this was to add a mixed sex league. Keep the traditions, add a novel new one, and let people consent to who they want to compete against and watch
Women are not excluded from golf tournaments, but the requirements to compete (primarily how far one hits the ball) are vastly different. Thats why both play the same golf course, just from different tee boxes.
If it's called "mixed league" the intention is clear
So maybe I think what they mean by "mixed league" is not a "Maybe Mixed League" but like "Definitely Mixed League" as in mixed participants being a strict requirement somehow?
Mixed league works fine for your company softball team. Not so much for professional sports.
There are several sports where female physiology (skeletal structure, etc) has inherent advantages over male physiology where this may not be true, though.