Storker is mostly talking about problems with private insurance based healthcare without universal coverage (there are good working examples of insurance based systems with universal coverage, even the US was about to set up one).
On the other hand I am a proponent of private healthcare providers, which have proven to be effective in setting up services with good availability and customer satisfaction. This works especially well in primary care, which is the usual achilles heel of public provider systems when they face financial constraints. There are many examples of this in Europe, where most countries have universal access to heatlhcare, but with different models. Many of them are not single payer public provider systems like Norway.
Several years ago when I was working in a hospital in the New York City I met a Norwegian patient. The Norwegian public heathcare system had sent her there (without co-pay) to get advanced cancer treatment which was not available in Norway at that time.