Both genders oppress each other in different ways, definitely not equally, but it is there.
Posing a counter argument, is it really the female gender oppressing the male gender when it comes to men and how they deal with their feelings? Are women as a whole asking for men who internalize their problems, present a stoic front, ect.....? Or is that another product of males who want males to be a certain way, and sow that behavior through the media and cultural upbringing?
I agree with your identification of a problem that exists, but I don't think this was part of the argument to begin with.
Personally, I think that society oppresses both men and women in different ways, and a lot of the large scale forms of oppression can be traced back to patriarchy in ways that have been very thoroughly described.
On the other hand, I think both genders abuse/oppress each other equally when it comes to the interactions of individuals. By individuals, I mean the way people treat each other outside of the context of a member of some institution, as in when people are just people and not CEOs, managers, teachers, politicians, etc. On this level, I don't think behaviors can be so easily traced to well-defined cultural artifacts.
Bringing up the fact that women abuse men isn't to point out some systemic oppression of one gender over another. It's only to point out that the same potential to be abusive as individuals exists in females as it does in males. And it's no more acceptable to create excuses or shift blame in that context than it is to do so in the reverse, as responding by pointing out cultural expectations of males seems to be an attempt at.