Damore was fired for perpetuating gender stereotypes. Even he confirmed it. That isn't unique to Google, and employee policy is not manipulation of search results.
https://www.vox.com/identities/2017/8/8/16106728/google-fire...
I thought you meant that he went on record saying something like "I'm perpetuating gender stereotypes".
Instead, it looks like he's just confirmed that Google thought he was perpetuating gender stereotypes, and that's what he was fired for, which is no surprise.