No man planned Patriarchy?
FML!
Of course no man planned it. If you exclude people, sorry, men, as recent as Napoleon Bonaparte. No man, in antiquity or any modern era, passed any laws that banned any woman from taking part in education, various workplaces, all workplaces outside the home, politics,.etc etc
Oh! Except poor women of course. They could work. From sex work to domestic slavery, poor women could definitely work.
But they all must have chosen to do this. As, just like you said, no man eve actually constructed a patriarchal society.
No... wait... history is calling with a multitude of examples of when such a thing actually did happen
Pshaw!
But those rules/laws/policies/whatever weren't planned to favour men, they were used to favour and protect the ruling class (who more often than not were men). A 14th century male peasant had no more access to education, work choices, or politics than a 14th century female peasant.
Outside of the ruling class women were seen as birth givers and carers, to be used up and thrown away. Men were tools to work the land and fight, to be used up and thrown away too. The life of a 1st, 8th, 12th, 14th, or 18th century male farmer wasn't any better than that of a his wife's. For most of human history life was, to quote Hobbes, nasty, brutish, and short for most people.
It's only really been the last 70 years or so that the average person has seen much of an increase in living standards but we still hold dear to the classical structure of being ruled by a small group of elites (I mean britian still cling to a royal family for Christ's sake). So there's no real reason to assume we'd see any wholesale change to societal structures, especially as we don't force them.
Going even further back you have to remember that humans as a species evolved around 300,000 years ago and for 290,000 of those years we followed a similar social structure to other primates i.e., a single dominant male, who acts as leader and protector, lesser males who occasionally challeng for power but in general are subservient to the alpha and dominant to the females, and a group of females and offspring (how familiar does that sound?).
It was only when we moved from small indivudal tribes of hunter-gathers to larger agricultural communities, around 12,000 years ago, that things started to change and the role of the sexes became more defined by the work they could do on the land, which either etenched or broke the previous social structures depending on what happened. (There's a really interesting piece by Oded Galor about how the prevailing crop of a region such as wheat or rice influenced societal structures during that time period).
But for 97% of our history as a species we have followed a natural instinct when it comes to how we structure our societies which are still present today. The ruling class are the alpha males, lesser males haven't changed and are content to be subservient to the elites and dominant of women, and women and children bring up the rear so to speak.
That basic structure is ingrained into our very psyche, when ever society resets the same structures appear time and time again from Mesopotamia and Ancient Egypt to the Roman and British Empires. If women want real parity with men they will have to force it through rebellion and sacrifice, but I'm not sure we are anywhere near ready or willing to do that yet.