It's always the patriarchal conquerors like the Ancient Romans or the Ancient Greeks that they idolize and never the people like, say, the Picts or the Celts or the Gaul that rebelled against the brutal Roman empire. It's never the Scottish or the Irish heroes who fought back against the British Empire that followed in Rome's footsteps. None of them probably even know who Boudica is.
Ironically, a lot of the stuff you could call "white culture" was burnt at the stake, banned, brutalized, and literally demonized by the Empires that chuds think are so civilized. A lot of pagan culture was lost to time, or warped by Roman 'scholars' for propaganda purposes. If they truly cared about their 'culture', then "Muh Christian trad wife' would be seen as killing the identity of pagan women, rather than an aspiration.
What if instead of matriarchy it was gaytriarchy and it was just for the fellas?
ancient greece
Nah, that's bi dude-bro culture. As in they still fucked non-men for political reasons.
I'm talking about a society in which gay bros ruled and had no sex with women at all. It would be like Omelas but instead of a single child it's just women in general and they have to live in the basement and do meaningless shit like science and shit while men have gay sex.