I don't think there's that implication at all. I think what's happening is that this component of patriarchy isn't really a rallying point for many people. That is, there are a lot of people who are vocally upset about
other components of patriarchy in which men actually
are the primary antagonists, e.g. rape culture. That does not, however, imply that man are the antagonists,
nor that women are the victims of every component of patriarchy.
I think more people should be pissed off about this component, too. A man shouldn't feel obligated to be masculine, nor a provider, nor a protector, nor anything he doesn't want to be. Truthfully, more of HN should empathize with this as well. I would be surprised if a very large portion of us didn't grow up being called a variety of epithets for being less athletic, more booky, less masculine and therefore less valuable than the general population.
Ironically enough, it's exactly this component of patriarchy that leads to the aggressive anti-feminist views seen all over this board.
You can call it matriarchy if you want, I don't really care, except that a) no one will know what you're talking about and b) we don't live in a matriarchal society so it doesn't make sense.