My experience has been very different. I can walk into my doctor's office without an appointment, wait an hour, and immediately talk to him. Appointments can usually be made for the next week. I had to see a specialist or two, even get an MRI, and those appointments were not more than 2 weeks out.

Maybe it's the city you live in. I'm in Munich and have TK, and about the only thing I've paid out of pocket for is 25 euro for some blood work, and of course some small fees for prescriptions such as antibiotics.