We can't even be 100% sure the wolves got it right about themselves. They know when the soul of a wolf die in TAR, this wolf soul is never reborn as a wolf. They've not considered the possibility that to be reborn as a wolf, a soul needs to live an afterlife as a wolf in TAR. It could be that if a soul lost the connection to the wolves by dying in the afterlife, it isn't destroyed, but it goes back to the general "soul pool", to be reborn as something else. We don't know much about transpecies rebirth, but RJ indirectly implied it happens, when talking of where the Nym got their souls, or that the souls borrowed by Shadowspawn from the soul pool are tainted, and they cannot be reborn as anything else but Shadowspawn after.

It could even be that the soul of a wolf that die in TAR, when reborn as a human, becomes a wolfbrother, and that in turn Perrin and Elyas when they die will join the wolves in TAR (like Noam, who became Boundless) and be reborn as wolves next... until in some Age they get killed in TAR and their cycle of rebirths as wolves end.

The Pattern is a world without a beginning nor end. An ending is just a new beginning, in RJ's conception of things. It's fairly curious that something as "natural" as a wolf meeting death in TAR gets a real "a final end". It sounds like a big flaw in the working of the pattern that such a thing as a real final end might happen to any soul.