Cost is not the only comparison. The US scores last in this study of eleven countries. Sweden third. Having received healthcare in the US, the U.K. and Sweden, I personally prefer Sweden. But as the US is a very large place it is hard to generalise.

http://www.commonwealthfund.org/publications/fund-reports/20...

The UK spends a tiny amount on health care - $1400 a year less per head than comparative european countries like Germany, France, Belgium etc, and $5,400 a year less per head than the USA. Yet it has better healthcare than the USA.

The U.S. health care system is much superior. When I was in Sweden, I asked my vet if she would take me on as a patient because vet care is better than people care. But at least the funerals are free.

More hospital beds, lower infant mortality, higher life expectancy, lower chance of dying before 60, higher quality of healthcare overall.

http://www.nationmaster.com/country-info/compare/Sweden/Unit...

I can't see a single scientific measure supporting the statement that the US has a better health system than Sweden

You need to look farther than the sources you are quoting then. I would suggest talking to people who have lived in both countries.