I never wanted to imply that private services are always high quality, but there definitely is more motivation and it shows - while there might be a considerable portion of bad hospitals in the US, here are literally just a handful below average ones (compared to the US) in my country and it's impossible to get there legally.
Of course low quality hospital beats no hospital, but you should be able to fix that with some kind of mandatory insurance that is state-sponsored if the person is poor, for example, no? Don't forget that I'm reacting to a comment praising public hospitals from control reasons, not about absence of social safety.
I don't understand why people in the US can't or don't pay their insurance themselves instead of through their employer, though. Seems like a huge risk - well you described it.