Not sure what point you are trying to make. It's not a "private company" (not even a closely regulated one) in any sense of the word "private" no matter where i

Not sure what point you are trying to make. It's not a "private company" (not even a closely regulated one) in any sense of the word "private" no matter where in the world that word it is used. Health care might be organized differently than in most other countries but that does not imply that those institution are private. Is the City of Munich also a private company? It has self-administration, is responsible for its own budget which can't be negative, has to operate within legislative bounds including giving compulsory benefits to its residents (which are exactly the criteria you quote). Of course not, that's a city. What about the Technical University of Munich? They even have "members" instead of residents in addition to the things above. It's all the exact same kind of legal entity. Saying one is public and the other one private doesn't make any sense. What's the difference between those in your eyes?