If you wish you could take that up with Bernard Keane who wrote the piece.

https://www.crikey.com.au/author/bernard-keane/

Bernard is well across many aspects of US, UK, and AU political views, government systems, media etc. with his own particular views as we all have.

In context he's writing for an Australian audience about a conservative Australian trope that the Australian health system is weighed down with government meddling and would do better with, for example, a "US free market" approach.

I think we all appreciate that's an illusion, a myth spun for children.

Depends on what you mean by health care. Medicare is insurance, not care, and while insurance is part of the system, Medicare often pays private healthcare providers for service. Medicare only insures ~14% of the US, less than one sixth and is only available for people 65 and older. For those reasons, your example maybe doesn’t demonstrate what you imply.