I think that Oni has done a good job of exemplifying the biggest problem with public health care. Specifically, using the economics of health care to justify state control of people's behaviour. It is true that we must all make contributions for a society to work but the only reason for a society to work is to benefit the individual members.
Among the erroneous assumptions that he makes are;
- everyone values quantity over quality
- quality of life is entirely an objective assessment
- wealth and efficiency are more important than freedom