The stuff Tesla is doing, allegedly, is only done by really shaddy companies.
Yes, medical care availability and quality suffer as the consequence of the European model, and that everybody regards it as "free" (despite having been taxed through the roof) doesn't help. On balance, it's probably better than the US system, but it's not the rose garden a large chunk of HN seems to think.
And nobody thinks health care is free, just universal. It might seem free as everybody is used to pay part of his salary every months but health care cost is a recurring topic over here.
Availability for emergencies, and ambulances are for emergencies, is by no means bad. There are medevac helicopters placed in a way to minimize response times. And they are covered by your basic insurance.
Availability can be an issue compared to private insurance due to budget constraints in the public model and the fact that doctors and hospitals have to live. Again, emergency services don't suffer from that. Could overall availability be better? Yes. Is availability overall satisfactory? I would say yes as well (point in case, general doctors in the countryside, there are not enough of those for a variety of reasons).
Ambulances are low risk and cheap somthey really should be used even down to ~0.1% chances of serious issues.
If the injury is higher (with the potential for compartment syndrome distal to the injury site, or closer to major blood vessels), then sure, I may be in a bit more of a hurry (a "bit" being the operative word there... slow is smooth, smooth is fast).
Paramedic here... If the bleeding is controlled, there's not really anything an ambulance is going to do other than give you an expensive ride to the hospital. Counting dispatch/response/on scene time, you'd likely get to the hospital just as quickly if someone drove you in their personal vehicle.
I'm not defending Tesla's practices here... I'm far more concerned about the other cases mentioned (workers passing out, feeling dizzy, etc).