The thing about the "you can't tell other people what they can feel is offensive" argument is that if someone is going to complain that "your comic made me feel bad," that complaint should probably hinge on it having done so via means that could have prevented had there been consideration beforehand, and a following of common courtesy. If anything and everything is potentially upsetting, then while other people may retain their right to the full legitimacy of their own upset, they have to own it themselves if it isn't from an entirely rational source that someone else shouldn't be held accountable for not knowing about.

I mean don't get me wrong I don't think we should say things like "you're a baby for getting upset", which tends to happen a lot in arguments such as these. But "don't ever make reference to anything which could hurt my feelings which are totally legitimate no matter why I have them" is an undue burden to put on other people.