GitHub does not pre-screen Content, but GitHub and its designee have the right (but not the obligation) in their sole discretion to refuse or remove any Content that is available via the Service.
and
We may, but have no obligation to, remove Content and Accounts containing Content that we determine in our sole discretion are unlawful, offensive, threatening, libelous, defamatory, pornographic, obscene or otherwise objectionable or violates any party's intellectual property or these Terms of Service.
I don't think it is really a slippery slope either, there would be a bunch of new law needed to make it so that offering a platform for publication carried the obligation to publish things (a lot of it focused on protecting the service provider from liability).
Can someone explain to me whom this portion of the clause refers to?
There Terms of service are very vague.
You cannot anticipate all future issues but need to be prepared to have the means to act if it creates liability/risk for you (as a company).
I don't think it matters if they're serving torrents or not. The movie industry will likely sue them anyway and GitHub probably doesn't want to be involved in any way.
I will move away from github if this is true! First the sexism and now this!