In any case we have public and private hospitals. Paying an insurance for assuring a "premium" service with better rooms or faster treatments (closer to the US system) is also an option.
Despite right-wing propaganda that we're all flocking to the states for care (never met a single person who has even considered that), or that we're all dying on years long wait lists (there is an element of truth to that, but it's a triage system. So cancer patients get priority for surgery before the skier who blew his ACL).
I still have yet to meet a single person who doesn't think the US system is batshit crazy.
Canadians recognize that their system has problems, and can be improved (which is true of ANY complex system). But they also don't think that the US system is functional or desirable.
I know that the nearest border crossing to me regularly has ambulances waiting for people that preferred to travel sick or injured than seek healthcare in the US. In other words, people literally flee the country to avoid being treated in the US.
Is curious, but I had heard exactly the same advice before. In case of a minor accident or health issue as tourist in US, try to leave the country ASAP unless you have a solid travel insurance. In any case you will be not allowed to fly with a fracture (if I'm not wrong).