I think you're right about the difference.
Also, I imagine that it's called "Righteous Fury" because you'd probably pick an enemy deity, and then go around looking for his followers and temples to destroy.
Sage can jump in and correct me if he likes, but I think the intent was that Righteous Fury is intended for the enemies of the faith.
I'm proposing a name change for the next version to make it a bit broader / easier to follow.