No.

The gut-reaction to call someone cringe is a natural expression of the human desire to conform to social norms. They are insecure about their own differences so they enforce conformity in others by trying to humiliate them, the way they have been. In a strange way they could see it as helping them to avoid further humiliation. They're saying "cut it out" with an implied "or else people will not accept you." It's pure instinct.

What do you call it then? Because that's what's happening here

Unless "drag" refers to someone/thing else entirely, which context heavily implies otherwise