@boghan i claim these to be two different entities.
My evidence is nothing (that's my point). It's best to not believe in any of them since both are creations of my mind I made them up and it's probably good to give noone this power over ones mind.
You say that the entities are equivalences of each other. Even if so the riddle still works. It doesn't rely on the gods being separate entities. The current worshippers will be punished from the "true god" simply for not guessing correctly