I think leaving the law at "don't interfere with the police during their job" is good enough. Making static rules like this is normally a bad idea. And we won't know why until there's a scenario where we regret passing it.
Those already exist, of course, including[0]:
* Failure to comply with police officer; classification
* Refusing to Aid a Peace Officer
* Obstructing Criminal Investigations of Prosecutions
* Refusing to provide truthful name when lawfully detained
* Impersonating a public servant
* Obstructing a highway or other public thoroughfare
No matter how reasonable the law may read on its face, the clear goal is empowering more police abuse and less oversight. The history of police conduct in arizona makes this readily apparent.[e.g., 1]
[0] https://www.jacksonwhitelaw.com/criminal-defense-law/obstruc...
[1] https://www.forbes.com/sites/erikkain/2011/08/31/actor-steve...
It’s something for them to point to and imply “I did that because I know how much you dislike people trying to get cops in trouble for /serving and protecting/“
It's easy to see how this will be abused. The existing law seems to be working well.