I suppose the point I was trying to make was simply that the establishment (which includes university academics, who may have admirable qualifications - but it was easier for them to go through the system to get those qualifications) still expects people worthy of advancement to look like them - white, middle class, male.
And the problem with the "equal opportunities, not equal outcomes" line is though it sounds admirably fair from the perspective of he towers of academe, the real world doesn't work that way. I think liberals (and philosophically I am very drawn to classical liberalism) start some Rawlsian thought experiment where we all sit around in a room, magically gifted with perfect rationality but no actual life experience, and decide what sort of society would be fair in ignorance of our eventual position in it (I'm a big fan of Rawls, incidentally, and I think the thought experiment is an interesting one - but it's flawed). If you start from there equality of opportunity sounds fine - anyone can pull themselves up by their bootstraps in principle. But in practice, it's like the quote about "anyone can eat at the Savoy grill, millionaire and pauper alike..." - the point of course being that although there's no law stopping the pauper from going there, they couldn't afford it.
A focus on equality of opportunity often ignores all the things, overt or hidden, making it harder for people at the bottom of the heap - whether due to sex, ethnicity, social class - to access these fabulous opportunities. And saying that equality of outcome doesn't matter because humans are naturally subject to variation, and you wouldn't expect everyone either to be capable of becoming or of wanting to be a top surgeon fails to address the fact that you can't tell whether a particular person lacks the interest, or has been told it's not a job for "their type" at an early age, or genuinely hasn't got the capability, or has been through a school system which has prevented them from finding that they do have that capability.
I suspect the Petersons of this world look at say, the preponderance of women in "caring" professions like nursing, and the dearth of women in STEM subjects, and say "well, we have an education system which allows women to go into STEM (equality of opportunity), so this just shows they don't want to (no equality of outcome, but for perfectly acceptable reasons)." Whereas I want to know how many of those girls were given dolls rather than lego technics, laughed at at school for showing an interest in maths, couldn't stand the sexism and sexual harrassment as the only girl in their GCSE computer coding classes... And also (coming back to the "white middle class men at the top is the state of nature") thing, why it isn't the same across all cultures (in some countries, parents and teachers encouraging children in careers choices see computing, for example, as a route out of poverty for both sexes).