But if you had listened to your consultant tell you that surgery wouldn't be necessary, and then decided that you knew better and taken your daughter to some illegal clinic to have it done against medical advice, that would be closer to what we're talking about. In your example, you sought a doctor's opinion, and were happy to do whatever they advised. Before, you were arguing that you should be entitled to act against medical recommendation. So if you take your son to the doctor and they say they don't believe he medically requires circumcision, you would just go and do it anyway. Which I would say is not right.
I do of course understand that the NHS is shit, and that if your NHS doctor doesn't take it seriously you may well want to go private. But if your private doctor also agreed it wasn't necessary, would you then remove it anyway? Even if it meant going to an illegal clinic, or abroad?
Nobody is arguing against medically approved circumcision, just elective. Nobody is arguing that your son shouldn't be circumcised if doctors deem it necessary, just like nobody's going to argue that your daughter shouldn't have any surgery a consultant might recommend. But in these examples I am arguing you should not be allowed to just take it upon yourself to operate on your children for no medical reason, whether that's because you think they really do need it, or because your god told you to.