A number of the posts in this thread say/suggest that people should not be so sensitive about what others say about their weight or about being heavy in general, that they should have a "thicker skin". Imo, this is good "advice" in one sense but is also bogus in another sense. Namely, it is true that people with sensitive feelings would be better off if they cared less, or not at all, about what others think of or say about them, and it follows that they should try to take a more indifferent attitude to the extent possible. However, it is bogus/semi-useless advice because people don't simply decide how they are going to feel about something and adjust their sensitivity as though it were a setting to dial into their smartphone. Just as "the heart wants what the heart wants", the heart feels what it feels. Aside for perhaps the rare fully enlightened among us, people don't have control, not full control at least, over their feelings.
What is truly bogus imo is giving yourself a pass for offending or hurting someone because they are too sensitive (in your opinion). In almost all cases they would prefer to be less sensitive if they could, but they can't. Just as you have things about yourself that you might want to change but cannot, they have no choice about being easily hurt or offended.
Another way of saying this is that it is not about political correctness, it is about the ordinary human decency of caring how your behavior impacts other people's emotions and happiness.
-Ww