The more you respond the more my point gets proven. You aren't a robot and neither are the audiences of comedy. We all have visceral, emotional reactions, from the smallest, to the most intense stimuli. I think it's disingenuous to suggest other wise. And... You have the right to be offended. I cannot, and should not have veto power over that.
But... I can make my voice heard if I think what you are offended by (say a picture of sleeping puppies intended as a joke?) is ridiculous as well. And you have a right to respond and I can respond to your response ect., ect. There is not actually a hard and fast rule here of one thing (a comedian's right to offend) having primacy over another (an audience member having a right to take offense) in this thing called life. People have emotional responses. We aren't simply logic machines. Again, if you really didn't care, you wouldn't have taken the time to respond to the most milk toast of critiques. The question at hand is best explored if we are being honest and not putting on airs of "oh, I never get offended". That, frankly is a load of bovine excrement (Hopefully those words aren't offensive

).