There is in fact indication that journalists have at least been targeted in Portland according to an ACLU case, which results in a judge putting a restraining order on the police. I’m not a law person, so if you know better on the nuances please educate me on the matter but this legal judgement implies to me that journalists do have some special status and that it is is inappropriate to target them for arrests.

It's a violation of civil liberties for the police to unjustly target anyone. If the police for some reason didn't like a certain hairdresser and targeted him or her, then the same protections would kick in.