You never provided and actual evidence of a private system doing better, all you’re doing is talking about anecdotal evidence.
Let me help you with a very basic stat:
Life expectancy:
https://en.m.wikipedia.org/wiki/List_of_countries_by_life_expectancy
Canada is number 20, USA is number 55
Infant mortality rate:
https://en.m.wikipedia.org/wiki/List_of_countries_by_infant_and_under-five_mortality_rates
Canada is number 38, USA is number 49 based on the World Bank, Canada is number 43, USA is number 55 based on the CIA World Fact Book (you know about the CIA right? The US agency…), Canada #42 vs USA #52 from 0-1 year old based on the UN
https://en.m.wikipedia.org/wiki/Argument_from_anecdote
Also, you’re ignoring the actual numbers that include more than just your anecdotes and the numbers are clear, life expectancy in the USA is much lower than in Canada even for the first year after birth, which shouldn’t be the case if private healthcare was so much better, right?