Everywhere Booster bounces around, his time travel and/or chronal radiation temporarily give heroes near him their powers back. In addition, he and his friends are able to escape the domes using time travel.
All this is fine, except for the fact that he gets his time travel technology from the the 30th century, and specifically from Brainiac 5! Brainy invented the time sphere, did he not?
So why are not one but two Legions hoplessly trapped behind domes without their powers? Did no one think to escape using a T sphere in the entire year they were all stuck? And if the spheres were disabled by the domes, they why is Booster's group able to use the same tech to move around freely?
Then again, this is just the latest in a mountain of Convergence inconsistencies, I suppose.