The crap that the average medical provider goes through to try and collect their payment from insurance companies IS insane.
Getting the government involved will only make it worse.
Multiple payers don’t work - and insurance companies try to keep paying out little as possible - if they paid out the max, they would quickly go out of business.
A single payer can pay out a lot more - which from a doctor’s viewpoint, greatly reduces the paperwork burden. But it may not be that advantageous from the patient’s perspective.