Considering SE gave the Tonberry an actual backstory that tied into the overall storyline for Zilart and CoP expansions, I wouldn't be surprised if they're another active role and could be linked to Odin, but that would place the Tonberry on a very high spot in the "humanity" hierarchy, since unlike the rest, they're the ones who brought back an elder primal, meanwhile the other lowly denizens are merely bringing about elemental primals.