If the hospitals simply want to gain insight on your ability to pay your medical bills, wouldn’t your “normal” credit score be able to provide that insight.
What’s different between your “medical” credit score and your normal credit score?
Edit: Additionally, there are laws in place in the US that state in emergent situations, no hospital (public or private) can deny care - regardless if you can pay or not. So the article title might be a bit sensationalized.