Resemble a monopoly, yes, in the way a horse resembles a zebra. They might look similar but are decidedly different. Let’s break it down.
Private care monopoly: having no competition to lose business to, cuts corners as much as possible, maximizing profits while degrading quality of service. Can be ostensibly held to standards of care by local authorities but, being the only option, can often tell them to piss off.
Socialized hospital: being neither beholden to shareholders nor having a profit motive, has no financial incentive to cut corners provided the hospital is adequately funded. Funding is often contingent on achieving standards of care. Government can step in and reform underperforming facilities.
Given your previous replies, I suspect I’m going to regret this comment, but I’m feeling like rolling the dice.