A lot of people completely miss the point of edgy comedy and take it at face value, so that makes him an easy target for clickbait and outrage. Since overly sensitive people out there allow comedians to hurt their feelings that makes him a bad man.
I think this punching up/punching down stuff is meaningless because he’s not trying to punch anyone, nor are trans people the only people “punched down on”, a.k.a. joked about, by edgy comedians on a regular basis.