Not necessarily, the old hell is disconnected from Eiki's cycle of reincarnation. The vengeful ghosts from back when it was the main hell have no chance for redemption and return once hell's management moved.
Despite appointing the Komeiji family to the management of the Hell of Blazing Fires,Even then...
We of the Komeiji family...There were next to no dissenters.Of course, we received support from your side later on, and thus a new subterranean city was born.you easily fired us, as we were disposable.