The police haven't been doing themselves any favors by actively attacking members of the press though. If you don't want a narrative about police brutality to spread, perhaps you shouldn't beat the people responsible for generating the narrative while they scream that they're 'Press'.
But that’s exactly the point. The majority of reporters don’t get beat up, but it’s presented as a routine thing to happen when more often reporters get beat up by protesters —but even that is a minority of interactions.