I agree that local police assaulting journalists is awful, they should be fired and prosecuted. And I'm aware that Trump made some dumb ass comments praising that shit, but it doesn't constitute a war on the press. You're talking about some isolated disparate instances perpetrated by unrelated local police departments during a summer of protests and riots. That isn't an act of the executive branch of the federal government. The US doesn't have a strong presidential system like say for example France. The us president has virtually 0 control over any individual police departments other than threatening to yank some drug war funding.
There do exist levers the executive branch could pull to attack the press, e.g. via the FCC or by having the DOJ prosecute sources. The Trump admin didn't do those things despite all of his bluster. He basically ended the policy of aggressively prosecuting leakers and spent all day engaging with the media. Sure he's a shit bag who did crimes, but the war on the press stuff is overblown.
Yes, it's an administrative motte & bailey. Police support, individual and organizational, for Trump is incredibly high and their loyalty to him transcends official channels. He's explicitly endorsed violence against journalists, brutality towards suspects, and celebrated the execution of Michael Reinoehl. While he didn't have direct control over the state police, he spoke directly to them frequently, and encouraged all of this.
Trump's commentary on the violence against the press: https://www.cnn.com/2020/09/19/media/trump-velshi-msnbc-shot...
>“They can’t stand the fact that this Administration has done more than virtually any other Administration in its first 2yrs,” he continued. “They are truly the ENEMY OF THE PEOPLE!”
(https://thehill.com/homenews/administration/437610-trump-cal...)
And surely media can be bad, can harm people, can lie, but "ENEMY" is interesting.
You can make a good case that the guy damaged the discourse and eroded trust in institutions, but news and journalism have flourished in recent years.