If he wants to argue that Google should lower the false negative rate for men too, I am totally on board with that! They should lower the false negative rate for everyone. They are bad at high-signal interviewing.

But the meaning of the phrase "lower the bar" is that less-qualified people are being let in, that people are being held to lower standards, etc. The entire point of the phrase "lower the bar" is to convey that the bar should have been be left where it was.

Honestly even if he wrote something like "Hiring practices which are more likely to improve outcomes for individual 'diversity' candidates by decreasing the false negative rate" I'd have much less of a problem with it. (I called out this specific sentence on Twitter yesterday; it was one of the things that particularly bothered me about the document.) But he used words with a specific meaning.

If he used words by mistake that his colleagues reasonably interpreted to mean that he thinks they're unqualified, that's all the more reason he shouldn't have his job. At a company at the scale of Google, a huge portion of effective engineering is effective communication.