Helicopters are also prohibitively expensive and often not even covered by insurance. People faint over a 1K ambulance ride, but you could be looking at 30K or more for a helicopter ride. Which is really more the point. Some people are poor. At least the hospital will work with you. I remember when I was poor and couldn't afford an ambulance ride but needed it, it was the only thing that couldn't be negotiated down and it was a huge financial burden on a collegr student. All I took away from that experience was that next time I was on the ground bleeding from a head wound, I should call a friend. Which I did later in an emergency that ended with me passed out in my car in a parking lot. My friend took me.
As long as you can be severely financially hurt by taking ambulance people are gonna avoid them if you're not actively dying. And if you take away people's ability to drive people, they'll just not go. This is already happening with normal doctors and is one of the reasons hospitals are overburdened.