you don't seem to be getting the point of people's distaste/disagreement/lack of support for the term, which is partly that it is NOT a powerful criticism, although it can certainly be one with a lot of emotional overtones.
all political men, really all political people (except perhaps those on the right), would absolutely say that they're against sexism. the interpretation of what that means is where things get sticky. whether anarchist men should be different is not the point, as i understand it. the point is that their lack-of-difference doesn't warrant its own name.
also, it might be overly nuanced for you, but i think i disagree that anarchism is about fighting all oppressions, as that describes a negative project that allows the terrain to be determined by my (our) enemies. my preference is to have a positive project in terrain that is determined (to the extent possible) by me and my cohorts.
and for what it's worth, this is a pretty conflictual site, so there's that.