No, not really. What's the universal generalization or group here, of which Damore is a counter-example? "Googlers who have written memos like Damore's and were then fired"? Damore's situation is a specific one, and he made specific claims about the importance of freedom of expression at Google:

A. Damore spoke out about how Googlers shouldn't feel unsafe to express themselves.

B. People at Google are reportedly intimidated about expressing themselves.

C. We would expect Damore to be unhappy that Googlers are feeling unsafe to express themselves.

That's not a logical fallacy. Doesn't mean that idleword's rhetorical argument can't be criticized for being overbearing. Or for being wrong in its premises, e.g. Damore never explicitly said freedom of expression at Google was important, he alleged that Google management's policies stifle ideological viewpoints. That doesn't mean Damore has an opinion about Google employees being intimidated by the public.