It's a fact that people's sensitivities and thresholds of offense vary significantly, and even an impersonal, non-specific utterance like 'ah, shit' could cause offense in the wrong context. Sometimes the smart and decent thing to do is excuse yourself and tone down your personality a bit for the sake of social harmony. Nobody should ever feel afraid to challenge or report what seems like obnoxious behavior, no matter what the basis of offense. There may be no guarantee of a remedy, but there should be no penalty for expressing one's dislike of what others are saying.
The difference in this episode is doing it a) via an audience of thousands of Twitter followers, b) with pictures identifying specific people, c) some of whom were not involved, but whose names are now inextricably connected to this whole fracas, and whose images will continue to appear in related internet searches for some indefinite future period.