Actually Joe, no American hospital can legally turn you away either. You just get a much larger bill after you leave and the hospital will turn you over to a collection agency when you can't pay.
In the US, if you have insurance and break your leg, the hospital that fixed it might charge your insurance company $5,000 for their services. If you don't have insurance they will bill you personally for $10,000 or much more. Insurance companies have contracted rates with medical providers and will only pay them a pre-determined amount for any particular type of claim. Since people who walk in off the street have no such agreement with medical providers, they are free to charge uninsured people whatever they want, and usually do. If a gas station in the US raises the price for fuel during a natural disaster like a hurricane, the owner of the station can be put in prision for gouging or ripping people off with little choice but to pay the high prices. No such laws exist for medical providers.
Even though this is considered normal and accepted behavior by medical providers in the US, somehow the insurance companies have been declared evil by politicians, who make millions in personal wealth from corporations that provide medical services.
The game is rigged and "We The People" are getting screwed right up the old poop shoot.