In the US Kaiser is an interesting health care company. They have their own doctors and hospitals that are 100% Kaiser, and customers often stay for years.
They do have a shade of a different approach to healthcare. for example you could get an appointment with a dermatologist, or you could just snap a photo and email it. This could be done more efficiently and they are not making money on each visit.
Still it did not seem to lead to 2x efficiency savings. but some savings.