On paper terms of outcomes (preventable deaths, infant mortality, doctors per patient etc.) it's the better system. So it's a case of what is 'the point' of healthcare systems?
What makes it a worse system in your view?
The quality of care basically. Doctors are more concerned with lining their pockets than treating their patients properly. GPs are less competent than British ones so they are much quicker to refer patients to specialists.
Most specialists set up their own surgeries, often at great expense, so as mentioned they are very concerned with wringing as much money out of their patients as possible. I've been insured both publically, and now I've got private insurance thanks to my employer.
When I had public insurance, it took ages to get an appointment when I was sent to a specialist by a GP. I had to pick out the specialist myself after googling surgeries near me. There was no coordination based on the seriousness of the problem. Unless you're lucky enough to a helpful admin person who would make an effort to get you a quicker appointment (this is very rare - they;re mostly very busy and very rude). When I saw the doctors, they would say the only treatment they would recommend is xyz, which unfortunately my insurance doesn't cover so I'd have to pay myself.
Now I'm on private, I can get an appointment with a specialist within a week. Doctors see you are on private insurance and run all kinds of tests which are often unnecessary. In the last 2 years if I'd listened to everything they told me, I'd have had 2 operations and a colonoscopy, all unnecessary. I've been prescribed antibiotics unnecessarily (as a "precaution"). One orthopaedist prescribed me St Johns Wort for a chronic back problem. I had one particular experience with a urologist that was 3rd world standard of medicine.
Doctors have about 0 level of human empathy and I get the strong impression they're not working to uniform guidelines, like they can set up a surgery say in 1990 and then no one is observing how they are updating their knowledge.
Most of the above would probably have been quite easily sorted by a GP in the UK.
On the other hand if you end up in hospital in Germany things are a bit better, the doctors are more honest and seem more up to date.
Although I did end up in A&E once and the system was you had to take a ticket with a number on it and then wait for it to come up on the screen before you even see a triage nurse.
I could go on but I'm just ranting now