I can't claim credit as I fell in the very shit causal sports category! No the men were very embarrassed.
From what I recall although touch there might have been rules about high speed collisions (generally not BC mixed) but these women were pretty fearless and constantly needed medical care. Some paused around final year job interview time with black eyes etc.
In my view it was about mens rugby and women's rugby being different sports. Women were better around evasion, tactics and were pretty fast. The mens many were chosen as brute force. But am biased naturally...
I suspect at your causal levels though a lot of the difference between men and women is men will have played far more sports from a young age, so not biological.
Historically in many areas (outside sports like maths) biological sex differences are overplayed and then out to be environmental sexism from a young age.
Alas at my school it was netball for girls, extremely boring and not many girls even played social football. Booooooo. I played cricket as the first girl, until I got too embarrassed as a teen.
Right off thread for now TTFN.
Edit for clarity: there are no biological mathematics differences! All sexism!