OK, so you’re an equal opportunity condescender and mansplainer (men do that to other men as well — it’s a part of jousting for position on the dominance hierarchy pyramid.) That doesn’t really earn you any points or disprove anything that I’ve said.
Apparently, it never occurred to you that the dictionary definition of something is the least complex and least nuanced one available, although as a sociologist, I’m going to go out on a limb and say that if more than 50% of the people in the country believe that the father is the “lord and master” of the household, that’s a patriarchy, even by the most basic and least complex definition.
People like you have no interest in “conversation” or even real debate. If you did, you wouldn’t initiate with snarky remarks.