[Aapjes]

The hiring ratios for Google track the ratios of the applicants, so that could only be true if the female applicants are better than the male applicants. This may be true, but I've seen no evidence of this.

That the vast majority of incompetent people you've worked with have been men can be explained by the gender ratio at Google. If most workers are men, then most incompetent workers would also be men, if men and women are equally likely to be incompetent.

My impression is that female workers at Google disproportionately work in the less technically hardcore jobs, which may actually be easier to be competent at or you may interact with those workers differently. So this may also skew your anecdotal observation.

Damore may have been worried about an increase in pressure to hire women leading to hiring women for the more technically hardcore jobs, which given the few female applicants for these jobs, could then lead or may already have led to worse hires then if there had been no pressure by the company to have pro-female gender bias.