It's interesting that the argument I've heard most often for the American healthcare model is the quick access to doctors and specialists.
When you consider that there are less doctors per people in the US compared to some countries where healthcare is partially or entirely public, it's quite revealing how this result is achieved: by decreasing the population who can offer one. So that if you were re-adjusting the graph to the population with insurance or sufficient needs, the US would probably be higher than the rest.
I don't know how you can argue to yourself that limiting access to health care is better because now some people can get what they want faster (because others can't get what they need at all).