A name is something randomnly assigned at birth by people who wanted something that sounded nice. It has no impact on your future, no impact on your decisions, no impact on your life in any way, I don't care if it's a story, if your work is considered lesser because you decided that "Hey, it's a name, nothing more", then that's something I would not stand for. It's a different matter if the names are specifically chosen by the characters because they want their names to reflect how great they believe they are, or if it's more of a title/name assigned by an outside force to determine your purpose. THESE are also the cases in stories where the name usually carry significance, by the way.
But right now, we're talking about a story where the characters are wolves, and the wolves are addressing themselves by their birth-names (title names such as "Deer-Killer" or "Pees-on-squirrels" are different matters). There is absolutely no reason, no logic, no anything for those names to have any significance, and to downgrade a story out of some misguided expectation that something so inherently meaningless should have some hidden secret behind it is just plain pedantic.
It's not like this is a dystopean world where your names are changed to something for the specific reason that it has meaning (I.e Handmaid's tale, June's name is changed to Offred ("Of Fred, belonging to")), it is what I call myself, what you call yourself, what the guy down the street calls himself, it is nothing, a product of chance.