Of the games I've played with GOTY status (namely Fallout 3 and Oblivion) Even if Brink were to become that popular, it would need AT LEAST 4 DLCs included free to make it worthwhile.
GOTY games seem to be more about reselling the games with their DLC content already unlocked on the disc rather than being a game worthy of "Game of the Year" quarter of the time anyway.