You will quickly find the limits of private healthcare once a surgery or advanced treatment is necessary. Usually that it is not covered in your plan. Heck, even relatively simple specialist interventions will go beyond coverage.

In many countries they are great at routine care, no doubt, as they're just not overcrowded and that is the main reason for problems in public systems. If you shift all the crowd there... well... they degrade much quicker and worse than public.

So, apples to apples. Fully public vs fully private systems.

You could say compare German system with US system which are almost completely mirror images except German one is many times cheaper.