A few years ago my aircraft was involved in an accident and the airport crash crew, ambulance, fire crew, and locally based police helicopter all responded. Even though none of them were actually needed, I was very pleased to see the professional and fast response.
There seemed to be nothing else happening that day, as what seemed like the whole of the local constabulary showed up and, against the specific instructions of the airport, raced out onto the runway and parked up at the end - closing the airport for an hour (note my plane was in a field 1/4 mile away)!
Overkill from the rescue service is always better than underkill - I do sometimes wonder through about the level of police deployment to some events.