"And don't you dare ask for a second opinion, you'll get the doctor that has been assigned to you and accept whatever they tell you."

This happened to us with private healthcare. There is basically one specialty group for the procedure my family member needed so any 2nd opinion request just got routed back to the same doctor, "Oh, your Dr X's patient". Also, we could barely afford the procedure so we missed out on some follow up testing that would have verified things worked properly and basically got blacklisted from that practice so hopefully it's resolved...