That's exactly how the brainwashing works. It makes you believe you're not "free" if you offer up some money in return for the comfort of knowing you , your family and all your fellow countrymen never have to be bankrupted by medical bills.
You have to be either radically apathetic or addicted to risk if you think it's rational to dismiss all benefits of universal healthcare in name of a "freedom" that has no benefits at all.
According to many studies most people would benefit from it. And most people want it.
For some people, dying more easily is worth it for the sake of freedom. Not the trade you would want to make, but that’s their prerogative.