From facts. German healthcare system is 100% privatised and it works very well due to minimal market regulations, but extensive safety regulation. The US healthcare system is bound to insane licensing processes and fees, yet close to zero safety regulations.

For example, the US only has a few medical air transport companies, because getting a license is very very expensive. Only big corps can afford it and they have a cartel like grip on the market as there's no competition. At the same time the US doesn't regulate their performance and pricing. So you end up with an artificial cartel monopoly which sets sky high prices for their services.

Similar licensing in Germany is much cheaper and any decent air company can afford it, so there's a lot of healthy competition. But they also have price caps, so services are actually affordable.

So, in short the difference is that Germany has a free market with pro-consumer regulations and the US has cartel monopoly without any pro-consumer regulations at all. And this approach goes through the whole healthcare system.

The free market always sorts itself out, especially with a small nudge from the state, that's why US corporations are lobbying hard to prevent all and any competition to themselves. And that's why corporate lobbying is called corruption elsewhere and is illegal.