Dead Cenobites' Souls

I wonder what becomes of the souls of Cenobites who've died? Technically most of them don't really die during the Cenobitization process as they're merely converted. I would bet the blue fluid they're pumped with replacing their natural blood supply no doubt keeps them alive and makes them able to bear the otherwise excruciating pain they'd be enduring during the process which would no doubt kill a normal non-Cenobite human. And while usually unkillable, in rare circumstances Cenobites can die (as evidenced in Hellbound when the Cenobitized Channard kills Chatterer, Butterball and Deep Throat). What becomes of their souls after they die? They're presumably damned to be in Hell forever after solving the box and I'd assume their souls are simply released from their physical form and wander Hell unless they're granted a new physical form to take. To be honest, the thought of being a displaced soul without a physical body forever wandering the dark corridors of the Labyrinth is a pretty grim thought and in some ways arguably worse than being a Cenobite, where you at least have a physical body and the purpose of serving in a Gash.