Not in the hospitals I've been in...
Physicians make decisions about care. Most of the time, the physician has no idea what kind of insurance a patient has (or if they even have any). They do know that a big percentage of the time they/the hospital won't be payed for the care.
We all agree the system is broken.
I'd argue that the problem is that we all have the potential to really need medical care, and we're all already entitled to get whatever care we need, but that we're not covered equally by insurance so the financial ramifications are very different depending on who it is that gets sick.
The reality is that we already have universal health coverage because nobody can be turned away in an emergency. With that standard of care, treatment for the poor and uninsured is indirectly paid for by the rest of us. That's a really inefficient system. We could just give everybody the care they need from the beginning for less total money.