To postulate that medical professionals never enjoy or take advantage of the control, nudity or touching involved with their profession is akin to suggesting that police officers never enjoy or take advantage of the authority granted to them by their position.
You've got us on that one. A very good remark. That is unequivocally correct about law enforcement.
However, here's another counter remark. I'd postulate that doctors, nurses and physicians etc have a different outlook on life and their professions. The medical community is (ostensibly) engaged in professions that are meant to cure and help people in medical distress. It's a collection of altruistic professions - broadly speaking that is.
Law enforcement is about controlling, domineering and repression etc. It attracts different personality types. It also legitimizes the use of deadly force. This last is anathema to the medical profession (at least conceptually). Police often force things on others against their will. Even if it is enforcing obeying just laws, it still involves the use of force and by allowing this, opens the profession up to more abuse and misuse than the medical profession.
Doctors have no recourse to the use of force in their profession and this I submit means that they will on average be far less likely to take advantage of any authority they have.
This has been reflected since Antiquity in for instance the famous saying 'Quis custodiet ipsos custodes?'- Who will protect us from the guardians? As far as I know there are no such distrustful sayings about the medical profession. Not that a Latin saying means all that much, but it is a reflection of how people perceive things.