Flavorwise, the Eldrazi actually have a pretty good claim to appearing in white (with devoid). They act as a single-minded unit, all cooperating with one another with a single unified purpose and goal. And mechanically, white's certainly good at making creature tokens, so that gives it a better claim to Eldrazi Scions than, say, blue, which we already know gets to produce them.
Every color makes tokens, though. With spawn/scions, I could see them in green (mana generation), red (Skirk Prospector, rituals), black (sacrifice creatures), or blue (colorless mana). But white doesn't generally get mana generation. And white never gets common 8/8s, which is the main thing everyone remembers about the Eldrazi. (Though I guess if white were to mill, it'd be something like ingest. But probably only temporary.)
As I said, it'll be like NPH: White will most likely be for the Eldrazi what red was for the Phyrexians.
Which makes a hell of a lot of sense, considering the fact that white is the color of order, and Eldrazi are basically chaos incarnate.
Also, mechanically, white uses a lot of small creatures. While the Eldrazi obviously have tokens, we more associate them with Ulamog's Crusher-type things.
Private Mod Note
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Card advantage is not the same thing as card draw. Something for 2B cannot be strictly worse than something for BBB or 3BB. If you're taking out Swords to Plowshares for Plummet, you're a fool. Stop doing these things!
Also, mechanically, white uses a lot of small creatures. While the Eldrazi obviously have tokens, we more associate them with Ulamog's Crusher-type things.
On phasing: