Yeah but there’s still differences in game rules that may be played by separate teams like yes/no contact in lacrosse and hockey, and that difference in rules results in a difference in player armor and padding and a likely difference in the proportions of which gender be attracted to one or the other variety of the same sport.

Which it’s totally fine if the gender proportions are equal between the contact and non-contact varieties of a specific sport, but I predict culture may make those proportions not equal.