Both have amazing public/private systems, where everyone has access to public healthcare, and if you want to pay the extra money, you can go private. They also have (very affordable and fair) health insurance if you want that extra security.
The public hospitals are fine in both countries, you'll get the critical care you need, when you need it. There aren't people dying of cancer because the government can't afford treatment. Sure, it's a bit slow for non-essential and elective treatment (e.g. a hip replacement or other corrective surgery), but it does get done eventually and as I said you can always go private, which is a lot cheaper than the USA, as they have to compete with free healthcare.
I'm really not sure why you keep quoting total taxation as some kind of negative point regarding countries with universal healthcare and functioning social welfare systems? Quality of life, both for individuals and for the whole population is a much more important measure.
https://en.wikipedia.org/wiki/Healthcare_in_Switzerland
They still have universal healthcare/ mandatory health insurance.
I don't think the libertarian types would be too happy with that.
and
>Insurers are required to offer this basic insurance to everyone, regardless of age or medical condition. They are not allowed to make a profit off this basic insurance, but can on supplemental plans
Isn't it interesting that the best healthcare system in the world is entirely privatized, in Switzerland?