Sure. Some procedures are uneconomic, and it would be awkward to make them illegal, so there will probably always be private options. But the US approach is just grossly inefficient (I've heard it spends twice as much per capita on healthcare as comparable nations, for indistinguishable outcomes). Driving people into bankruptcy for health problems they have no control over doesn't make anyone more productive. Tying healthcare to employment makes the labour market illiquid and disadvantages everyone. And I shudder to think what life must be like for e.g. someone who wants to leave an abusive marriage but is dependent on their partner for health coverage.