Earlier quoted context omitted.
Immigration requires a whole lot of push. Given how many Canadians already live within easy driving distance of the US border, even gigantic differences in efficiency and quality wouldn't drive much actual transnational immigration. You move across a border for a better job, not to potentially shave 45 minutes off your wait time after a putative future cycling accident.
If we were confident that the friction of immigration exceeds the allure of better wait times, then we can say with some confidence that better wait times simply aren't that important to people. Or at least, not as important as making more money, or retiring to a warm place, or hanging out where the action is. If it doesn't rank next to those other reasons for immigration that all exceed the friction, I would suggest…
That's fine. I assume the reverse, asserting that the Canadian (and European, and ...) systems are better is also a no-go, given rates of immigration there from the US?
I just don't think anyone's going to move anywhere for health care systems unless they're already sick and they're going for medical tourism purposes. Use of the health care system is a nebulous future possibility, whereas a job or the weather or the cultural environment is an everyday reality. Immigration rates aren't going to tell us much about any health care system.
(edit: specifying the final object)