I grew up in the GDR (East Germany) for the first 17 years of my life. While I turned out well, I had years and years of close contact with a large variety of doctors, for my eyes, sleep EEG, LOTS of small problems. I was a regular visitor of a pretty sizable variety of doctors in various places, not just the hometown.
The fears expressed hear from Americans about that kind of health care, to me, are simply ridiculous. The system worked darn well. I got soooo much, and I wasn't even all that sick, and that in a really poor country (compared to Wet Germany).
By the way, we did have a "top layer" of doctors (in East Germany) where you needed more (don't know if it was money or favors or if they selected you), who were far better than the normal ones. Still, nothing any more outrageous than now - the best are few, everywhere. Getting to them wasn't a matter of being rich though (I know because I got to see one or two of such top doctors).
Interestingly, a friend of mine found that getting the "top doctors" even now does not have to be a question of money. His wife got cancer and the standard treatment would have given her 6 months. He had money and brain, he checked the literature and did his research to find the best doctors relevant for his wife's case - and all it needed to get them to treat his wife was a few phone calls. Not a single additional Euro was spent, they didn't want any. They were cancer researchers at German university clinics, but he also checked with experts in the US. the experimental treatments she got and that gave her a few more years (instead of 6 months) were all paid for by the "Krankenkasse" (the common public insurance vs. private insurance, which exists too). They paid the huge sums without question but refused paying tiny amounts for small stuff...