Religion says that A's unverifiable statements are sacred and not allowed to be criticized, but B's are heretical and punished.
Some religions say that unverifiable statements are sacred, but I don't have any kind scriptural infallibility in the variant of mine that I hold to. There's also an element in it equating God with truth, which would imply that going away from truth, or not seeking it, is going away from, or not seeking God.
I don't if this is unique to my religion, but if it is, then it fits me very well.
While such things exist, they are not synonymous with religion.
It also depends on what you mean by verifiable. If someone has a religious belief they are likely to think they have reason for what they believe. This is true of any contested belief in any field.