Among American women diagnosed with breast cancer, only one-fifth die from it. Compare that to one-third in France and Germany and nearly half in the UK and New Zealand.
As for prostate cancer, fewer than one-fifth of Americans diagnosed die. That numbers grows to one-fourth in Canada, half in France and MORE THAN HALF in the UK.
The problem with government-run health care is that since everyone gets so-called "free" health care, they flood the system with trivial cases. The real cases get pushed back in favor of the ones that don't cost as much and wouldn't happen under a free market. It's the same phenomenon we're seeing in ERs, where illegals get "free" health care.
If we move to national dental insurance, that boy would be put on a years-long waiting list (the UK has nearly a million names on its waiting list to get into a hospital -- which have 15% of their beds empty) and prohibited from getting private insurance. He would have died without even getting into a hospital bed.
Private health insurance does exist n the countries you mention, though I'm not sure about the current status of Canada. I do know that a debate has been going on in Canada.