My only experience in this realm was back in '91, ancient history. I was hit by a motorist from behind...the ambulance took me and the Police took my bike (as a service to me, not as evidence or anything).

I got released from the hospital that evening and the officers who responded to the accident came to see how I was doing and delivered my bike to me (pick your own order of priority here as this is the new upbeat me writting this response).

I imagine that police would respond to cycling accidents in rural locations also.