I don't personally believe a procedure like that necessarily requires specific maintenance crews or management crews to fly it. So long as crews are trained to it, and it's even part of recurrent, then it shouldn't be something that's rocket science or reserved for special crews. Even with that, because it's non-standard and somewhat rare, any crew performing it needs to not be rushed, needs to plan and brief it accordingly, and triple check the items that you'd normally only double check.
That said, if a company wants only special crews to fly it, and doesn't want to train line crews on that operation at all because it's a rarity, then that's fine too.
