I don't know. I often wonder when humor, and by extension entertainment, became some absolute good that must be defended at all costs for its own sake. Morals are supposed to be the highest goods we have, when humor is added to that mix and seems to supplant all others it doesn't make sense to me. What is the real value we are protecting here? A chuckle? Our own entertainment and other's "right" to be entertained? Free speech?
Now, Free Speech is its own entity. It has value beyond entertainment. It's the ability to speak out against bad things and about good things and express your opinions freely without risk of harm from some regulating entity. It is not the ability to speak about all those things without risk at all, however. All Speech can have consequences from other Free Speakers and still be quite Free.
If I walk into a biker bar and loudly express that I think bikers are the scum of the earth as my opinion, there will be consequences for that and they have nothing to do with censorship - they have to do with the reaction my chosen time and place of that expression have created for myself. Similarly, if someone uses a racial slur around me they will get a lecture. I'm not censoring them, I'm responding to their expression with my own expression and those two happen to be in competition and so an argument is likely to ensue. Same with tasteless humor. Some people are going to take exception to a joke that offends them and they are going to respond. That's their right as much as it is the person making the joke to make the joke in the first place. They can demand an apology and then it's on the joke maker to decide if they are going to meet that demand or ignore it. Thing is, the offended party may or may not have leverage they can bring into play to strengthen that demand. That's its own element, but it is not a hinderance of Free Speech unless the offended party is in a position to actually regulate that speech officially and bring some type of preventative sanction against the offending party. If rape jokes aren't made illegal, for instance, then Free Speech isn't being infringed upon - even if someone who makes a rape joke is protested daily for the rest of their days at all their shows - they still have the Free Speech to keep on making that joke, and keep on reaping the consequences of their use of that Speech.