Addendum to my sibling comment, since HN won't let me edit it:

So the parent's concern does seem justified. It seems conceivable that Damore didn't have any beliefs that most would consider sexist, and didn't have any ill intentions, but was still fired. Hence the throwaway -- it feels like us men have to be extremely cautious when discussing gender.

But again, I recognize that discussing P risks promoting Q, which is the harmful stereotype, so perhaps it's for the best that we don't discuss the topic more freely.