We die sooner, we spend more of our own money and we spend more government money.
lose/lose.
Healthcare doesn't make sense when viewed as a market economy.
First off, there is a potentially infinite demand for healthcare. (How much will you pay to live a little longer? As death approaches, the amount you will pay can be seen as an asymptote towards infinity. You have to be a particularly well balanced individual for this not to happen.)
Competing for actual finite resources (hospital beds, doctors, nurses, medications, the drafty-but-fashionable hospital-johnny), with a number of people who are going to die anyway, but are willing (if not able) to pay non-finite sums of money, clearly points us towards a conflict. The only conclusion is for the price of the finite resources to increase indefinitely.