Could you provide citations in the manifesto that were oppressive to women?
Manifesto was pretty neutral and pretty clear that this was not at all a text about the abilities of women and how they are inferior. It was about motivations women have given their biological traits.
Google, Facebook run unconscious bias training which has no support in scientific research. At best it does not work at all.
It really was not misogyny.
The manifesto is inspired by Jordan B Peterson, and that guy is not a misogynist or a racist or whatever. He's a psychologist that complains about HR departments of the world that are filled with other psychologists and sociologists. He thinks they have to start looking at science and get to the root of the issue. Unfortunately, they use methods that have no support in science and misuse their position to push their ideology.
One good example is Iran. Where women are oppressed. Yet they choose STEM more often than not. How come our free/tolerant culture allows women to move away from STEM fields, and their oppressive culture pushes women towards STEM fields? Maybe motivations of free and oppressed women are different and free women just don't want to work in STEM? Abilities of men and women are identical (or at least the bell curves overlap significantly). Motivations depend on biology and culture. Motivations are what is differing and no unconscious bias training will fix that.
For example, I know plenty IT women that don't want to work in offices that don't have dress code. They all went working in banks. How is anyone going to fix that bias if women just like dressing well (on average) and being in a dressed up fancy environment.