As siblings have commented, 112 and 911 are in the GSM standard. On landlines, only 112 will work in most EU countries (and even that is an EU achievement; e.g. in Switzerland 112 is inconsistent)
Besides, anytime the other two are involved the police need to respond too - when there is a fire or medical emergency whoever can get that first can often be very helpful even if they are mostly for a different job. As such this separation seems wrong.
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.
Police responding to everything whether or not there is an indication that they are necessary, and even (especially) when the indications are that they would be counterproductive is a US quirk with very high costs, not some kind of universal rule.
No. When your partner has an urgent medical issue, you call the ambulance, not the police.
I've witnessed a lady falling down the stairs banging her head hard, blood everywhere. Called 112 in my country, a guy answered, and I calmly explained what happened, and I wanted someone coming there stat. "Nah" he says, he needs to ask me some questions first. One of the questions was: "is it serious?". This is no joke, I said "yeah, its fucking serious". "Okay" he says, "You should have called emergency services directly, but he'll do me one and connect me anyways(!)".
Then I had to repeat everything again and they've then reluctantly sent a team which by the way arrived in double the time it would take me to get there from their place.
Reminds me of those endless accountability sinks. Nobody gives a shit about anything as there is no accountability.