That's an assertion, not a statement of fact. Pricing in natural monopolies is a mature subject, and public utilities have been a thing for over 100 years. Also, pricing for medical procedures is regulated in Europe, and it works extremely well.
Setting prices where you could just have a functioning market has historically been well proven to lead to disaster. Look at any communist country. The GDR ended up allowing luxury stores that were not price bound and they were a huge hit for a reason.
It does not work “extremely well” at all, it results in shortages and wait times exactly as you would expect from economics 101. I’m speaking from personal experience having been through it myself but feel free to look up how many Canadians go to the US every year and pay out of pocket for more evidence.