Damore's thesis was that Google shouldn't expect gender parity because (among other factors) the preferences of women are distributed differently than the preferences of men. So Damore was talking about both groups, but he was fired specifically for suggesting that Google's hiring practices were unfair--the argument being that criticizing Google's hiring practices implies that the women hired under those practices didn't really deserve to be there. This is especially interesting because lots of people make the inverse claim (Google's hiring practices are biased in favor of men) and no one is trying to fire them for implying that male Googlers don't belong (note that recently Google has discouraged activism, but this is because it stirs up unwanted controversy and impedes business, not because it offends a demographic; never mind that being told to behave is not the same as being terminated).