I fail to see how the hypothesis that feeling self-conscious is positively associated with trait neuroticism is at all radical, in fact its about as self-evident as the hypothesis that people high in trait extraversion will have on average more social interactions in a given week.

I am unaware of the studies that use male vs female resumes specifically but would be interested to read them. I have seen where the used white vs African American vs African names, which was incredibly interesting as IIRC the resumes with "white" and "African" names did equally well, but the resumes with "African American" names did poorly, leading me to think the raters were using cultural vs racial cues to discriminate.

With regard to male vs female resumes, I am confident female would get an advantage applying to certain fields (for example childcare) while men would have an advantage in other fields (construction).

We must remember that those making hiring decisions are rationale actors who are trying to make the best decisions for their firm.

Speaking of the academic community, this seems to be an area where we see discrimination against males, as I have seen good data showing female academics on average only need to publish a fraction of the research their male colleagues do to get tenure.