While the No Deity option should maybe be possible, it also would mean that when you die, it is game over because your soul is stuck in the Wall and you cannot be raised from the dead or resurrected. Even Revivify would not work and there is little the gods themselves can do either.
That's not how it works. The souls travel rather slowly to City of Judgment / Fugue Plane. Once the soul reaches it, it's late for revivifying/raising regardless of their (lack of) faith. Revivifying/raising a faithless works fine. However, something like (True) Resurrection is a different beast, provided longer time has passed - by that time, the soul might very well be stuck in the Wall and therefore not free.
