Poorly educated women and better educated men is caused by patriarchy and keeps it going, since the women are not in a position to do much about it. If everybody is poorly educated, that is gender neutral; remember that those beloved hunter gatherers that deboche loves so much were all uneducated. Poor education=patriarchy is a foolish statement, since they are obviously not the same thing. The same is true of monogamy and patriarchy. They may coexist in some or many societies, but they are NOT the same thing.
Patriarchy likely emerged from the superior prestige granted to fighting and hunting, which were dominated by men. If these positions were most esteemed, then these people would be chosen as leaders, and go on to establish governments that kept people like them in power. Sometimes, this involved keeping women down by not educating them, hence the link with poorly educated women. Since this sort of patriarchy did not happen absolutely everywhere, we know it was not inevitable, unlike so many things in DF adventure mode. Where patriarchy was strongest was where ruling men deemed that women's opinions were innately less important, though even in these places women could still have great influence (the Sultan's wives in the Ottoman empire at times took over running it if the Sultan was incapable of doing so).