Is the information about the criticality of the bug (whether or not the app crashes) relevant to the business decision?
Yes, of course: "When I press the 'more' button in the developer's bio the app crashes" is a more important bug than "When I press the 'more' button in the developer's bio I don't see more text."
Might the criticality of the bug not be relevant to the business decision? Again, yes: "When I press the 'more' button in the developer's bio -- ok, stop, I don't care about this bug."
In some cases the criticality is relevant to the business decisions, in others it may not be. It probably usually will be. The app shouldn't crash, because even if it only happens to 1% of people, they're the ones writing reviews on the app store.
So the criticality is a big red "Hey! This should probably be high-priority!"-flag, but it's not the only piece of information the PM is going to use.