It doesn't make economic sense to spend, as an extreme example, $500M of public money to save one life. If we did whatever medical treatments we could, at whatever cost, we'd go broke as a society very quickly.
Utilitarian optimization places some upper bound on the amount of money we should be willing to spend to save a life. Making people pay for their own care approximates this bound but with more variance.
We spend billions per American life saved on terrorism.
We regularly spend $50M / life on infrastructure; hundreds of millions on an overpass over a dangerous intersection to save a handful of lives.
We regularly force companies to spend well over $10M / life on health & safety regs.
Medicaid costs about $800K / life saved.
Your statement illustrates one of two competing views. The following statements are extremes of the two positions.
1) The government by default owns all your money, and any money you get to keep after taxes is just a tax break.
2) You own your money by default, and the government should not take your money except to provide things that the market is unable to (some examples of which are law enforcement, military).
Those who espouse one of these views, tend to see people who espouse the other as morally wrong and evil.
I may not like it come tax time, but it makes sense to me. I consider the half I don’t keep another sort of contribution to society. And of course look for ways to minimize it–money doesn’t save itself. But I don’t fight over the concept– I rely on services paid directly from taxpayer money each day. The one thing I would hope for is efficiency– but I don’t think starving and cutting systems inherently improves them. It’s just a shell game.