On further thought, I don't like the idea of the White Court gaining power by eating others' Hunger-demons because it doesn't seem to fit how they behave. You'd see a lot less indirection and cat's-paws, a lot more direct duels for authority.
If it worked that way, Lord Raith would have killed his pre-Thomas sons directly to harvest their power, not indirectly and "deniably". And if Lord Raith was basically the White Court version of Kemmler, Lara would have eaten his Hunger rather than sockpuppeting him, and then been "Kemmler-plus" and wouldn't need a sockpuppet - she could just mind-crush everyone else into total obedience.
(The fact that Lord Raith did play White Court politics games and "deniability" stuff, and made a point of intimidating the other Raiths, is IMO further evidence that he wasn't really THAT much more powerful than other strong Whampires -- at least, not strong enough to just turn up his "influence" at a big meeting of the White Court and have everyone else drooling at his feet.)