This was my experience in Canada as well. Everybody get the same level of care, but when the shit hits the fan, I'd prefer to get care in the US.
A good example is cancer. Cutting edge cancer drugs are pretty universally covered by both public and private insurance, right after FDA approval.
In Canada it can take years before the gov't agrees to pay for it and sometimes they say "no".[1]
"It's crazy that I live in Canada, but now I'm looking at having to sell my house for coverage of my medication."
[1] http://www.cbc.ca/news/canada/british-columbia/a-tale-of-2-f...