The first thing you say is contradictory, positive discrimination is to "help" women and as I said before, disparities are not the result of any patriarchy. For example, in many schools there are scholarships for women to study a university career (especially if it is a typically male career), despite the fact that for more than a century women have had the advantage in the educational gap.
For there to be a patriarchy, there must be a political system. There is currently no law or mandate that exhorts men to command or prevents women from doing so. And men have more social disadvantages than women, in fact women have benefited a lot from the system. safe house, court advocacy programs subsidezed counseling, subsidezed legal care. More than misogyny, it is a gynocentric system, literally exite UN for women.
And no, the studies that I have seen are macro studies, they are not specific cases and they are not biased (otherwise feminist studies that are poorly planned and use very small samples)
This blog is in Spanish, but they can translate it freely, it talks about all the genre topics and presents the studies. https://feminismocientific.wixsite.com/misitio/investigacionteoricaygenero