literally just title. If a society exists where there is a huge disparity in terms of social status and distribution of power, regardless of what gender has greater control, we should be opposed to that power dynamic. Like just swapping genders would literally just place men in exactly the same position that women are in now.
At my first job I was on a team of 4 people. I was the only guy, the boss was a woman. I found out they all had a slack channel together and would sometimes go out for drinks without me. I get it, sometimes you just want to hang out with just the girls or just the guys. I wasn't exactly hurt by it but it did make me feel alienated a bit. I knew I'd have a harder time moving up the ladder because of it. Definitely gave me a different perspective on sexism in general and it helped me grow my empathy for what far more women than men have to deal with in the workplace.