The thing is, that's not neccesarily an irrational or sexist conclusion - it depends only on high-order beliefs about beliefs about what society thinks of women

The thing is, that's not neccesarily an irrational or sexist conclusion - it depends only on high-order beliefs about beliefs about what society thinks of women, not direct beliefs about women themselves. It's an interesting perverse consequence of "social justice culture". Consider the reversal: in a world that was irrationally discriminatory against women, that did not have a "social justice" culture, hiring women would be a signal (to unbiased, pragmatic people) that you cared more about getting things done than about what society thinks. The million-dollar question is - in a world with neither "social justice" nor irrational sexism, what is the expected sex ratio of a board of directors?