Government managed medical services in Canada came about from the Great Depression in the 1930's that also affected the USA and people not being able to get health care at all in their then largely private system.
There is no doubt both the Canadian and USA systems each have their advantages and disadvantages as to access to care. But there are also other issues that make our systems different and in some ways the Canadian system is better beyond this list of Mr. Nadar.
In the USA is our right to sue for medical malpractice, which I suspect is far more limited in Canada. The fear of malpractice in the USA causes many doctors to do too many tests, make references to specialists, prescribe more drugs than needed to protect themselves. The costs of malpractice insurance is extremely high, with some specialist like OBY/GNC's, paying obscene amounts and declining to take certain patients like female lawyers.
Another big issue, in part noted in Mr. Nadar's comments, is that people have a much different attitude as to government in the USA vs. Canada in terms of trust, responsibility and acceptance of government running health care.
In Canada, I suspect there is much better management of the number and location of hospitals, expensive specialized equipment like MRI
's to maximize utilization and costs. I also suspect there are few 'private', profit making hospitals and a much different relationship with those owned or managed by religious faith groups (especially Catholics). Certain procedures may be limited by provincial budgets and those with money may opt to have less critical procedures done in the USA to reduce waiting times.
Certain procedures like Abortion may not be as available in some provinces as broadly than others, but then birth control is cheaper and easier overall to obtain.
Cultural diffrences between the USA and Canada. There is a less violent culture, especially as to guns in Canada vs the USA. I also suspect Canada has a far lower rate of teen pregnancy vs. the USA overall due to sound sexual responsibility education and far less economic differences from the richest to the poorest.
Correct me if I am wrong, but in Canada, doctors do not leave medical schools with massive debt, it is subsidized by the governments so a doctors can charge less.
The Canadian government likely has standardized procedures to reduce wasteful spending including simpler billing and rates.