Yes they are entitled and we are allowed to disagree with it. That's the point everyone is trying to make. These legalistic arguments are silly and distracting.
Apparently Twitch's employees like these policies for ethical reasons, and/or their businesspeople and advertisers think these policies will bring in more money. Personally, I like these policies and I'd like to see more of this kind of proactive action. I like Twitch more knowing that they have this policy. It shows that they understand their role in shaping public discourse and are taking responsibility for it. It's a difficult balancing act, and there's plenty of ways it could be done badly, but pretending that platforms and their algorithms don't play a role in public discourse is silly.
I do feel most of this whole issue could be sidestepped with some long overdue antitrust enforcement.
>and/or their businesspeople and advertisers think these policies will bring in more money
Yes this is the reason. They will continue to stifle speech so its more palatable for corporations to run ads on their platform. Censoring art and dissent is working well for the people you agree with right now. 60 years ago the current culture would have been unfathomable. In 60 years it may be unfathomable to you again, but now you've taken the stand that it's right and just that they stifle dissent. Hope that never bites you.
I think money is a reason, but I don't think that's the only reason. If I was in a position of power there, I would endorse the same policy purely on ethical grounds, even if it for some reason harmed our relationship with advertisers. I suspect some of the employees there feel the same way.