So you have never moved people, on the Suspicion that leaving them in the same job will come back to haunt you, people do it every day.
That all depends on the possibility of damage to a professional's reputation and any possible code of ethics (professional or corporate) in place protecting it.
In my biz (engineering), compliance with such a code of ethics is a condition of licensure. And that code prohibits acts that could damage the reputation or business prospects of another member. In addition, it requires that issues of ethical or legal transgressions be handled by "the proper authority". So absent a ruling by CPS (the proper authority in this case?), BA might actually have its hands tied. In this case, a suspicion of possible problems would have to be documented carefully so as not to damage this person's reputation through negligence.