This is a fine technical solution to a different problem. The issue is not that people don't trust the ambulances, or want to keep track of them to feel more in control. The issue is that there aren't enough ambulances in the first place, not enough beds to put people in when they arrive at hospitals, nor enough people to treat them when they've got a bed.

I don't necessarily think it's a bad idea in general, but adding tracking to ambulances is not going to magically make them turn up faster.