It should not be "men run the hierarchy", it should be "everyone who runs the hierarchy is a man" The former suggests the entire group somehow has power, which

It should not be "men run the hierarchy", it should be "everyone who runs the hierarchy is a man" The former suggests the entire group somehow has power, which is not the case. While the latter is more limiting. It is not completely irrelevant that only men are in power - if everyone in power was a woman, there would probably be, e.g. cheaper tampons. But it has little effect on most men who are not in power. They are just as oppressed as most women.