When I was a student in the UK (not a UK national) I had access to capped prescription medicine at 10USD max price. Even though I rarely used it, it's a great relief knowing you won't go bankrupt if you have a health issue. When I cut my hand once, I was treated in a UK hospital for free, no questions asked. Whats wrong with that?
Again this could only work if things are priced fairly. A blood test should be free or super cheap (<$50) if there is a legitimate reason to do so (relatives with heart disease), etc.