No, there's no story on the Wiki because our limited staff was overworked because so much stuff was coming out and we had all to do to keep things up to date and when we were low on time, we prioritized the info folks needed to get the iTrials completed and what the rewards were. Lore was a luxury we didn't have much time for at the end.
At least that's why I didn't put more time into it. Plus, in most other content one could have the Wiki open and cut and paste text and edit a page while the game ran. With Trials, one didn't have that luxury to just sit there and edit a page as leisurely as other content.
Again, that's just my take on it.
I for one loved the story of the iTrials, and the powers, AND the combat, and the challenge of getting all the new shiny badges. However it fell apart as a storyline when it got completed 3 or 4 times a night.