This is not the US, the police does not show up to a fire or an emergency, why would they? They show up to an accident, and when you need an ambulance they will bring one.
The will also not stop and interrogate you when you walk to the side of the road. People usually have no interaction with the police outside of speeding tickets.
"get that first can often be very helpful"
Germany is not full of police patrolling the streets. Gladly we are no longer a police state. Usually I don't see any police for days, often not for weeks. Again, this is not the US. The only time you'll probably see police is going to train stations, airports or big tourist spots (and sometimes at parties that are too loud). In large cities, like Berlin, you might hear a siren and see a police car from time to time, depending on where you are. In smaller <1M people cities, not so.
Germany also has a proper health system and invests in ambulances and health instead of militarizing the police. So I can see your point, but it is irrelevant here.