I think this is a good example where the usual association  government run = bureaucratic ; privately run = straightforward breaks down because bureaucracy&#x2F;non bureaucracy is not a function of the economic model but that of the inherent simplicity of the model.
One of the reasons why many soicialised systems of healthcare are &#x27;simpler&#x27; is because they have universal coverage which means that the whole process of checking who is eligible to see a doctor, does their plan cover this doctor, did they pay their premium, which treatments they are eligible for, how much of their spending limit they have exhausted do not exist because everyone is eligible and everyone is eligible for everything.
It is like going to an all you can eat buffet and wondering why is no one writing down what I am eating :-).
I could add more examples to it e.g. If all surgeons are paid a fixed salary there need not exist an infrastructure to count how many stitches they applied this quarter and so on..