Which is not possession, so it is not a reverse exorcism.
Actually most of the “casting out” (exorcism) is associated with healing and possession is not mentioned. I other words, exorcism in not exclusive to demonic possession but is used to cure or heal demonization associated with physical maladies.
At some level being under Satan's evil spiritual influence could be termed "demonization," especially if that influence took the form of a physical affliction as in Luke 6:18 which stated unclean spirits were being "healed." If sinning can cause sickness as in Acts 12:23 and healing is linked to forgiveness in James 5:15, there is serious cause to think that being delivered over to Satan involves something much more than a letter from the elders or the presbytery announcing a judicial decision.