If the backlash is devoid of logic and facts, consisting mainly of character attacks and shaming....ya, that's "shutting it down". And if that's not enough, how about being fired from your job?
It's amazing how differently people perceive the very same facts.
Also, Google firing him did not shut the argument down. He can happily draft more memos or expand on it. Google Docs is free.
I'd be interested to read a few if you could provide some links. This assumes they exist of course, from the reading I've done on the topic I haven't seen any substantial rebuttal linked anywhere, but I've heard more than one person complain that the only rebuttal they've seen is "sexist!".
I have no particular horse in the race so if you do have content to back up your assertion I'd love to read it.
Can you link to one?