I think the way I'd put it would be that if I could be in any sort of legal trouble (or if there's any insinuation from an officer of the law that I could be in

I think the way I'd put it would be that if I could be in any sort of legal trouble (or if there's any insinuation from an officer of the law that I could be in any sort of legal trouble) if I just got up and left, I'd damned well better be legally allowed to record the interaction. It should also be at least a felony for any officer of the government to interfere in any way with my recording of such an interaction with them. I really can't see any reason to oppose such measures, unless a person wants to make sure police officers have free reign to abuse captives, or lie about what they say.