He was one of the correspondents on the Daily Show, left in 2017, and apparently just keeps making up shit, presenting it as true, then saying it’s ok he lied because sometimes it really happens to people.
So while I don’t doubt he claims he was fired for “not toeing the party line” I’d say it’s that while Daily Show is a comedy show, it’s not just making up random shit and claiming it’s true.
Like, Jon Stewart has been critical of the flaws in the Dem party (and obviously the other one) for fucking decades. He just dropped a very lucrative Apple show because they tried to censor him.