Oh it's not verisimilitude that they're complaining about. Or rather, not in that way. As one of the other comments said, leftists hate the Punisher because in real life he'd be throwing them out of helicopters.

Their beliefs are an evil lie, in which they depend on compliant media to constantly soothe their cognitive dissonance.

The Punisher rebukes this. It's a piece of media that reminds them that in a just world they would be executed and regular people would cheer.