Earlier quoted context omitted.
Maybe I'm missing some context, but what about that Tweet was disgusting versus just trashy or in poor taste? Compared to some of the crap on Twitter it's pretty tame.
The word disgusting literally means to be in extremely poor taste (e.g. "the rotton food i ate was disgusting")
If I showed someone a crime scene photo they might be "disgusted" but they won't say it's "bad taste".