While traveling outside the US, I have found many people think Americans are cold and heartless and just let people die. It is an understandable conclusion the way people talk about the US system in the media and internet, but it also isn't true. The US has dysfunctional, public healthcare but it isn't so dysfunctional that you just die if you fall or get an ear infection without insurance. So saying the US has "no public health care" is not only incorrect but it is also overly dramatic.
And folks do skip going to the doctor, ration their medicines, and other such things.
Folks suffer until things are an emergency as well and hospitals won't always help if you, say, need surgery for cancer that isn't presently killing you and isn't an emergency.
The source is my wife who is a clinical pharmacist at a large hospital which has a sizable uninsured patient population. Here is the first result on Google which does talk a little about federal funding for "uncompensated care" [1] starting near the halfway point.
My wife's hospital was hit hard by ACA because it reduced federal funding for uncompensated care. The idea was that the funding could be cut because more people overall would be insured. Unfortunately enough of their patients still are without insurance that the funding shortage led to two rounds of layoffs. They seem to have adjusted to the new financial reality now and are hiring again. But the first couple years after ACA passed were tough.
I guess it would be more accurate to say that the federal government funds uninsured ER visits, but the funding falls short of what is necessary especially after ACA.
The summary of that Snopes article is that while medical bankruptcy in the US is indeed far more common than anywhere else, it's not entirely unheard of outside the US. Not all medical expenses are always covered, and disability can always lead to financial difficulties anywhere. Though medical bankruptcy is still significantly less common; in the US it's the leading cause of personal bankruptcies, in other countries it's a lesser cause.