Why do you think it's not possible to both acknowledge that women have it worse and also that there are things they negatively impact men as well? They're not mutually exclusive.

This will also face criticism of normal people, and that kind of is the point.

If you put up messages like these, then automatically call valid criticism mysogenistic, then you can't call yourself the good guy/gal anymore

This is like politicians making some bullshit argument about protecting kids from abuse and anyone trying to give criticism automatically is in the "are you a pedophile, then?" camp.

If you have an argument to make, make a valid one and keep your auto judgement system off.