I'm OK with government intervention here. Sometimes the government can be good in some things. I don't know if the Singapore model can work here, but I think it's worth discussing mainly because of its efficiency, and I LOVE efficient systems. Singapore has both private and public hospitals, and that fulfills a goal of mine when it comes to solving this problem. I am not in favor of nationalizing all hospitals, if I haven't made that clear already.
I am fine with some level of intervention as well. WE need to cover the poor and we need to cover preventative care.
It has both, but you posted that the coverage level that 80% is for public only. That means private hospitals would be at a severe disadvantage. How many private hospitals are there in Singapore as a percent of the whole? I would guess very few, because the system as you describe would eventually lead to a closed system, with privates shut out. Once again it also couldn't be singlepayer, because if it were, then the very system you cite as having private hospitals would not unless that is a class of private insurance ou there that covers care at private hospitals.