Surely the point is that although state sponsored healthcare is a massive financial burden in the UK it is also a great leveller. Free at point of use and paid for though taxation. Being state run it (ahem) avoids profiteering by private companies and is fantastic value for money. Without good health we are nothing.
More than that, it is vastly more efficient. The NHS may not be the best in the world (because we don't fund it well) but huge economies of scale mean it is the most cost effective.
The US spends much more per person for comparable (worse on many measures) health outcomes. Huge amounts of overtesting and overmedicating occur, with negative outcomes for patients. Healthcare has very large fixed costs and very poor market information- it doesn't work well as unregulated capitalism, even if you ignore the human cost.
I, for one, think it's a shame to see the NHS go. Still, not much we can do about it, eh?