I’m sorry, but what would “non-physical interference” even mean in this context? Should a police officer be allowed to arrest me for interference because my tone is insufficiently deferential, hurting their feelings and thereby impairing their abilities?

Even physical interference is an extremely broad standard, encompassing everything from “resisting” to simply failing to move out of the way fast enough for their tastes.

Absent a specific example of “non-physical interference” actually interfering with a police activity, the entire category seems pretextual and ripe for abuse.