First, I would point out that the hospital the original poster was speaking about is located in Europe. I can only speak to the healthcare system and hospital setup in the United States of America. Various countries in Europe have different healthcare laws and methods. The United States typically treats physicians as independent contractors with some exceptions, but those are exceptions.
Also if a gynecologist consents to perform an abortion, then the gynecologist has now signed a contract with the patient stating the procedure will be performed and is then bound by law to give proper care and treatment to their patient. So once the physician agrees to perform a procedure, then the woman becomes their patient and is then accorded protections and has a right to demand the procedure agreed upon between them. I do not dispute that a physician “quitting” their care is unethical and is actually illegal. A physician may relinquish care of a patient, but only to another agreed upon physician that meets the criteria and is willing to care for the patient. Doing otherwise is considered patient abandonment and is illegal.
A medical doctor learned to do many things while in school. Doctors are able to perform, in theory, any basic procedure or at least have a rudimentary understanding of how to do so. Obviously doctors go into specialties due to the complexities of different fields. Do you expect a physician to do every possible procedure and treatment that they were taught while in medical school and residency? Gynecology deals with a large variety of issues, of which abortion is a small one, and demanding that a physician stand ready to do every single aspect of a field or be fired is bordering on ludicrous. Nobody expects that of any other profession.
Also, doctors are not actually given as much choice as you think. Much of their decision depends on availability of residency programs, medical politics, performance and location.
As for your issue about sugar tablets, that is you being willing to violate your own ethics. I cannot justify forcing a doctor to violate their ethics because you do so. A doctor faces repercussions for their refusal, just as you would. They lose a potential patient, lose business and can get into trouble with whatever institution they may represent. Not to mention possible lawsuits and such. God forbid the doctor was wrong and there was actually a life threatening complication lurking there as well, they could face civil and criminal charges.
Lap band is an elective surgery. If the physician does not feel that the patient will benefit from the procedure, then they do not have to perform the procedure. That is part of their responsibility in correctly counseling their patients. I know many doctors that are not in favor of gastric bypass, lap band or any weight loss surgeries. Many physicians do feel that diet and exercise are still the best avenues for weight loss and the promotion of health. Others feel differently.
Once more, if a physician does not take someone as a patient then that person can hold no expectations of that doctor to counsel them or treat them. Medicine does not absolve people of alleviating their own ignorance or taking responsibility for their actions and care.
They do not have to fire the physician, but he will not do any business at the hospital. The hospital can then fire him for not generating an income or making their abortion unit or clinic profitable. So while the hospital would applaud the physician for adhering to their ethical code, they would replace the doctor with a physician that will perform the surgeries and generate them revenue.