I think more importantly, they're responsible for anything they put on the air. Twitter claims a lack of responsibility, yet also wants to be the final arbiter.

Fox has also claimed a lack of responsibility, saying they are not a news outlet but are instead an entertainment provider.

https://www.businessinsider.com/fox-news-karen-mcdougal-case...

You should read past the headline. The judge's ruling boiled down to the fact that Tucker Carlson Tonight is an opinion show, not a news show, and that any statements should be viewed through that lens.

Nobody, including Fox and Tucker Carlson himself, has claimed that Tucker Carlson Tonight is anything other than an opinion show. This is in contrast to CNN, where their opinion hosts actually do claim to be simply "reporting the news."