If HMO doctors didn't want to fulfill HMO advertising promises and abide by the terms and conditions of our contract with the HMO, they should quit the HMO and medical group. HMOs and HMO doctors must get 'em out of the HMO, before they drain profits or cause losses. Send them to the worst doctors in the medical group. Rudeness and incompetence work wonders. Set up an obstacle course to cause difficulty in making appointments.
Frustration is a magic bullet.
My wife's gynecologist wouldn't see her, after she had caught him in lies and medical mistakes. We documented that he had caused it. We showed that HMO doctors caused failed relationship, not us. This term was deleted from our HMO's contract. HMO doctors keep patients on a short leash to show them who's boss.