I think a more apt comparison would be BIID, body integrity identity disorder. These are people who feel a specific body part (i.e. arm or leg) is 'wrong' and want it removed. They acknowledge that the limb is there but find that it deeply bothers them. Most doctors try a wide range of therapies to get them to accept their body, but they are often unsuccessful. There is honestly a decent argument for having a surgeon remove they limb they want 'gone' if all other therapies fail because many patients will try and remove the limb themselves, often putting their lives in danger.