Nothing is ever the result of private competition; all innovation and production is merely the result of labor and access to resources/information. Especially in this industry, humans have been creating and innovating means of healthcare long before markets or private property even existed, and we will still continue to do so long after, because healthcare will always be a fundamental human need, of which we will always have an inherent incentive to improve and to make life better and easier, just as we always have. The notion that private, free-market competition is better, or even necessary, for innovation or incentive is completely unfounded.

In fact, imagine how much MORE progress and innovation we would have if all of our collective knowledge and resources were shared with every person and producer in society, instead of everything being privatized and excluded from everyone else for the sake of personal gain and profits. Could we have cured cancer by now if everyone had full access to all medical and scientific research, plus complete access to any resources necessary? What benefit does it actually provide to society by keeping information/resources pay-walled? All it ultimately does is benefit the few private owners who hoard it from everyone else.

And the problem with a mixed system of public services and private services is that market interests always end up siding with the private services, since those are designed to produce a profit for private investors. Systems with both always result in the public services being shorted access to the necessary resources that are privately-owned by those who only seek personal profit, not to mention the fact that private services only end up allocating service via wealth instead of by need. Public services simply aren't marketable in a structurally privatized, for-profit system...which is why the latter should be abolished.