I understand the sentiment as I recently had norovirus and got stuck waiting forever to get into a clinic.
That said, if you get into a car accident and are taken to the ER with serious injuries, you will not wait. You will be patched up with some of the best quality care in the world and leave without paying a dime.
Our system isn't perfect but I'd take it over any system where someone can be financially ruined due to an accident, or worse yet have to take shortcuts that jeapardize their health to try and avoid this.