Erudite faction members "Must wear at least one blue article of clothing, which causes the body to release calming chemicals" -Divergent pg 348 (from DivergentFans.com). So, while the blue is required, not only does it have good motivation, it also leaves room for options. The color of every item of clothing is not dictated like in other factions. Erudites still have some choices.
Why not #TeamErudite?
Well, once simple thing is that they don't have pets - they don't make sense.
They've also used their 'knowledge' to corrupt things, especially with Dauntless and Abnegation. They spend time studying, working for knowledge and intelligence but they seem to be misusing it - especially at the end of Divergent. I applaud their goal (initial goal) but not the end result they seem to have achieved.
Plus, who doesn't want a dog (or cat), logical or not?
Erudite Faction News on Tumblr, Factions page on DivergentFans.com