You could provide universal health care but you'd have to radically re-align the system so that stakeholders compete based upon outcomes (ie results) instead of treating based upon episode and billing fee for service. This would not provide a system where every citizen would get the same "level" of health care service, but it would provide that every citizen would get quality affordable service based upon a tiering of cost per outcome. So the poor would get results, but the rich would get them faster, with more bells and whistles, and more conveniently at a higher price. Much like any other product or service you procure today.