No, it’s more like “policy enforcement”.

Ostensibly it means “if our policy forbids Nazis, then you can trust us that there won’t be Nazis engaging with your content on our site.”

But really, the policy doesn’t forbid Nazis.

At my previous company the department went through various names over the years, ending up as “People Experience” when we parted ways.

I think Trust and Safety would probably be for an analogous department focused on the users, not the employees.

I’ve seen them use Tallent and Culture unironically. Yes and also shorten it to T&C

That would be people & culture