Sorta related to this topic. A few years back, a women's team was attempting to gain entry into our men's only league at the start of the season. The women were all 180 and above averages and would be competitive as it is only a 16 lane house and we were only a 12 team league or so, and looking to grow. In the initial discussion, it appeared the the motion to allow them to bowl would pass. At that point, approx 3-4 teams spoke up and said if we allow women to bowl this league, they will not bowl. Losing 4 teams to allow 1 didn't make sense so we voted against it.
So sexism is alive and well and is the reason we have "open" tournaments. I believe if associations ran 3 tournaments, the mixed would fail because most men only bowl with the women in tournaments because the rules force them too. YMMV