In an RPG, anything without stats is just color. Color is what you have when the fluff has no crunch, and fluff with no crunch cannot actually do anything because it doesn't have any point of connection to the games mechanics.
Anything that can actually do something needs stats, else its all just DM fiat and a good DM limits the amount of fiat he does on things that aren't color only. (Even when applying DM fiat, I'm typically creating a rule by fiat or at least a ruling. I'm not say, 'It happens just because'.)
By declaring that the far realms don't have stats, you are effectively declaring that they don't exist because they will never intrude on the game. Some incomprehensible thing occurs over there. Move along. *handwave* *handwave*
Even if you claim that the far realms run on some alien rules compared to the multiverse, all you are really declaring from a game perspective is that in the far realms there is a different game system than D&D (or even D20). Whenever objects from that realm intrude into this multiverse (this game system), they become understandable to the mechanics of the game or else they remain in practice mere figments.