Average life expectancy is a really flawed metric to measure the effectiveness of healthcare systems, because there are a ton of non-healthcare related confounding variables that impact average life expectancy. Anyone that dies early brings down the average life expectancy, and that includes suicides, homicides, drug overdoses, and car accidents. The US has more traffic fatalities per capita than any other Western European nation. The US has more opioid deaths per capita than any other Western European nation. The US has more gun-deaths per capita than any other Western European nation. While each of those problems have their own political causes...none of them have much to do with the underlying healthcare system, so using it as a metric to measure the quality of the healthcare system in question is ill-advised.
All that being said, if we were to use this metric, for the sake of argument...these charts are quite illuminating, but not for the reasons you think.
If you plot them on a graph, you'll find that the most efficient healthcare system is actually one closer to the "idealized market"...in Singapore[1].
Also the comment to which you are replying is strictly talking about "government insurance". "Government insurance" is not the only way to deliver universal healthcare. Germany, Switzerland, Netherlands, Singapore all have thriving multi-payer systems. In Switzerland and the Netherlands, ALL insurance is private. In Singapore, while the government covers catastrophic care, 70% of total health expenditures are private. Singapore's approach is actually the closest to what a system might look like if you replaced healthcare-specific targeted subsidies with a UBI — most health expenditure is through compulsory health savings accounts.
The common theme is that there is some degree of government intervention/regulation and subsidy. Having the government be the sole payer is definitely an approach, but it's by no means the only approach, nor even the best approach.
"Universal healthcare" just means that everyone has healthcare, it doesn't necessarily mean that the government provides it for everyone. We have pretty close to "universal food" in most of the developed world, and the vast majority of the food system is delivered through the open market.
[1] https://www.bloomberg.com/graphics/infographics/most-efficie...