Sure but Twitch is here suing people in a real court. It's not about whether Twitch is forced to host your speech or whatever. Here the government is getting involved.
That's exactly what it's about.
>Here the government is getting involved.
Which is not the same thing as the government abrogating anyone's freedom of speech, fairly obviously.
Doing that costs them a lot of money, so why shouldn’t they also seek to recover those costs?