Not to be a wet blanket, but in reading that spell I fail to see how it would allow anyone to activate more than one wand at a time.
It lets you activate one at a distance (specifically medium range), but it says "all other conditions" must still apply. That means that you need to speak the command word to activate.
Mechanically I don't see any way to Chain Spell those together, since each will be specific to the individual wand or staff in question.
Now I'm a bit hazy on Chain Spell: Is that a Feat or a spell?
If it's a feat, wouldn't it just be easier to use Dual Wield Wand, and save the spell?