Japan has universal healthcare and heavy regulation of expenses too, and thus by implication "rationing", so I really don't see your point. In fact,
OECD stats say in Japan 81% of health expenditure is by the government compared to 71% in Canada. If you want to say the Canadian system sucks, then whatevs, but that's not an indictment on universal healthcare, public health systems, government regulation or government expenditure.
And mate, if you never saw overcrowded or under-resourced hospitals in the USA I'd strongly suggest you haven't seen all parts of the United States healthcare system. And of course note that they have a system which excludes millions from recieving healthcare at all.
I am also curious how you think Canada has such good health outcomes and life expectancies if the hospitals are all red butcheries thoug. Canada's life expectancy and infant mortality are essentially identical to Australia's, after all, and we are hardly struggling.
Finally, when you say "private healthcare is banned", do you mean there are no private insurers, no private hospitals, no privately practicing doctors...? Define your terms, man! Cos I looked it up and in Canada 70% of health expenditure is government money, and in Australia it's 67%. Which would suggest our systems are fairly similar. And of course Japan, France and Germany all have higher government shares of expenditure.