Life expectancy is also a poor way to compare health care systems, because major factors decreasing life expectancy have nothing to do with quality or access to care --- for instance, one of the most significant hits we take to life expectancy in the US is the prevalence of traffic fatalities.
And it has life expectancy, infant mortality, and preventable deaths - I guess they're all poor comparisons?
Finally, the Swiss system is private only by the standard that insurance companies are privately owned. If you look at how they must operate, and how patients pay for insurance, it's practically government run. From https://en.wikipedia.org/wiki/Healthcare_in_Switzerland : "private health insurance is compulsory", "covers a range of treatments detailed in the Swiss Federal Law on Health Insurance", "not allowed to make a profit off this basic insurance, but can on supplemental plans", "The insured person pays the insurance premium for the basic plan up to 8% of their personal income. If a premium is higher than this, the government gives the insured person a cash subsidy to pay for any additional premium".
If you don't sign up the penalties can actually be higher than premiums and if you persist in not getting insurance the government will sign you up and allow the insurance company to sue you for any unpaid premiums.
This system is nothing like what "private" means in the US. This would be called communism in our current political discourse.
I'm not arguing the US system is better or even close to as good as the Swiss system. We have a lot of problems, and overpay flagrantly. I'm saying the Swiss have a system that closely resembles ours (unsurprisingly, since ours is patterned on theirs) and theirs appears to work. That tells me our problems are orthogonal to the issue of private versus public insurance.
I think the weak penalties for not carrying insurance are a serious problem with our system, but you are going to have a difficult argument to make if you want to attribute the hundreds of billions of dollars we overspend in health care to just that factor, or even significantly to that factor.
By contrast, Medicaid in the United States is administered to the states, who have broad leeway in determining who is and who is not eligible for the system, especially after National Federation of Independent Business v. Sebelius. Income level alone does not necessarily qualify one for Medicaid. Medicaid is not considered universal health care, even with the ACA, and that makes a huge difference.
It's not so much that Americans don't want the Swiss system as that we're missing the crucial part of the Swiss system that makes people feel secure that they'll be insured.
- Those who earn less than 100% of the federal poverty level ($12k/year for an individual, $25k/year for a family of 4) in states that haven't expanded Medicaid (~2.2 million people [0])
- Those who earn more than 400% of the federal poverty level ($48k/year for an individual, $100k/year for a family of 4) but aren't offered health insurance through an employer (e.g., because they're self-employed or work for a small business) (~900 thousand people [1])
Both are legitimate and significant coverage gaps, but they only affect ~1.5% of non-elderly adults in the US. For comparison, the number of adults that qualify for free or subsidized coverage but chose not to enroll is about 4x larger as of 2016 [2].
[0] https://www.kff.org/medicaid/issue-brief/the-coverage-gap-un...
[1] https://www.commonwealthfund.org/publications/issue-briefs/2...
[2] https://www.kff.org/uninsured/issue-brief/estimates-of-eligi...
We also have a significant population (~15%) on a public system that has an influence on prices that everyone pays but no authority to negotiate drug prices.
I don't think that any one of these differences is an explanation for the gap between ~11% of GDP and ~17% but there are enough of them that it's hard for me to decide public vs private is orthogonal.