I cast a Hostage Taker to exile and cast my opponent's Eager Cadet.
They Murder my Hostage Taker. I keep their Cadet.
They Animate Dead my Hostage Taker to exile the Cadet I now control, but they do not recast it.
I Murder my Hostage Taker (under the opponent's control). Does their Cadet go back to me? Or to its original owner?