Could you back that up? Are you talking about a specific country, or all manners of private healthcare?
As far as I can tell, the least regulated bits of healthcare systems that people pay out of pocket for tend to have done the best in terms of cost control.
Eg few if any insurances around the world pays for laser eye surgery. And it's one of the few common healthcare procedures whose costs have dropped massively in recent decades.
> A Medicare levy, while not ideal, is a fair system. You don't pay it if you don't pay tax, it is proportionate to your income, and it allows a basic level of care for those who need it. Everybody needs eye checks. Poor people get them for free. People earning an income pay for them.
That seems like a good argument in favour of taxing the well-to-do to give the poor money. That's a fine decision for a democracy to make.
But I don't see the argument of forcing the poor to spend that money on healthcare instead of letting them decide what's best for themselves. Do you know what they need better than them?