It's not about whether the hospitals are private or not, it's whether you know the price beforehand and can make an informed choice - the most basic thing about the free market.
Funny how everybody began to downvote me after totally misunderstanding my point in muddled fashion.
I wasn't talking about hospitals going private - after all, there are private hospitals in Europe and the UK too. I was talking about poor price transparency in the US being adopted in all of those places by private players. I specifically called out government players in the US, since they engage in the same practice, while government hospitals in all of those countries do not.
What baffles me is how expensive government hospitals too are in the US.