Yes... the NHS has some of the lowest per capita healthcare costs of any comparable health service. And so far all attempts to bring in private finance have lead to spiralling costs.

That's not to say the NHS has no efficiency issues. It's the 5th largest employer in the world. Of course it has efficiency issues. But there's little evidence that making it private would improve things.

Mixing private with public does lead to spiralling costs. To me it seems like a system such as the one in Germany offers good outcomes at a reasonable price, while not denying anyone care.