Gruber video on healthcare.
He starts with the difference in white and black infant mortality and blames it on healthcare access, but he ignores that a black baby born in the USA at 31 week of gestation or less is more likely to survive than a white baby at the same gestation. See table 2 page 9 here.
Hispanic babies have about the same survival rates as white babies.
USA babies survive to 1 month as much as EU born babies.
It does not look like healthcare.
Also there are important differences between a tax and health insurance premium.
BTW According the US census, at over 90 years (see table 103) so it does not look like overall differences in life expectancy are mostly due to access to healthcare. Also the 8 America's study would give a little evidence of that also.