Definition of "delusion" in DSM-5

[RoadRunner79]

I borrowed a copy of the DSM-5 from my university library today. In the glossary of technical terms, "delusion" is defined as

A false belief based on incorrect inference about external reality that is firmly held despite what almost everyone else believes and despite what constitutes incontrovertible and obvious proof or evidence to the contrary.

So far, so good. It then adds:

The belief is not ordinarily accepted by other members of the person's culture or subculture (i.e., it is not an article of religious faith).

Why do religious beliefs get a free pass? So if you're convinced Elvis Presley is still alive, you're delusional but if you think Jesus of Nazareth is still alive and can hear/answer your prayers, you're just a Christian. Why the double standard?

I don't see anything in conflict with the first definition and the addition.  The addition becomes more specific and gives example.

And similarities between your two examples, don't necessarily mean that the same conclusion follows (because of other circumstances and how the beliefs where reached).  Would you agree, that not all false beliefs fall under the classification of delusional?