We have such unrealistic demands for people in the public eye. We deride them constantly and expect them to take it all without batting an eye. I think the glorification of 'thick skin' is misguided. Since when is pretending to not be injured by hurtful statements so wonderful? Sure Fish could be slightly more tactful in his responses, but I don't give a rat's ass if he does get deeply hurt over derogatory comments. So what? I do, and most people do too.
Asking people to develop 'thick skin' is just asking people to take our derision better so that we can continue to show it, because we don't like being confronted with the fact that we're the ones being dicks. It's not about the other person needing to be anything at all, it's about us needing them to act a certain way.