Trigger - Can We Take a Joke? Official Trailer 1 (2016) - Adam Carolla, Gilbert Gottfried Documentary HD

And, just as this was uploaded, the next entry on "Garlic Bread Outrage" pretty much answered the question: no.

Always relevant:

Comedians are hired to say the things we're all thinking, and sometimes the things we're thinking is vile and repulsive. However, they're bringing it out so it can be addressed consciously or subconsciously. It's the best comedians who can take the trickiest subjects and handle them with expertise to still make the subject engaging and, yeah, even funny.

People will get offended. Comedians have been dealing with it for decades. But it's their duty to find the boundaries of comfort and cross it.