Sure, no on is saying comics can't say wherever they want. There's an audience out there for anything. But it's also true that audiences can and should make their voices heard about how they feel about it, and potential employers can take that into account when it comes to who they decide to give millions of dollars to. Some, like Netflix, are free and welcome to throw their money at Bill Burr or Dave Chappelle and that's fine, it's their money. And SNL can decide not to hire Shane Gills, again, it's their call.
I just disagree that there's this massive problem with "woke" people censoring comics, when the evidence demonstrates that even "problematic" comics are doing just fine, and are enjoying financial and professional success most of us couldn't even dream of.