I am not seeing the privacy issue. In most cases the police are interacting with people out in the public rather than in their homes and businesses. In most jurisdictions it is already one party consent to record.
Because being recorded can have a chilling effect on speech. Officers recording a peaceful, legal protest could exert undue influence on constitutional rights. Itβs a reasonable concern.
More cameras is not always good, even in public and even if legal.
It could just be that police testimony is not admissible without extra video evidence. In this day and age it may make sense. Especially given how the George Floyd and Amy Cooper incidents wouldn't have been known without video evidence since both involved people lying.