7 is also the number of deadly sins.
Here's some of the choice scans of the Psycho Pirate story in the Justice League Adventures 12 (due to popular demand).
So PP's a psychiatrist who knows how to amplify people's emotions. And since trouble ensues whenever us humans get too angry, lusty, or whatever, the League is called in to keep peace. And, dickery, catfights, and wangst follow.
It starts with Bats belittling Flash:
And it's the battle of the chins!
There's the catfight! And the I-am-alone-alone-ALOOOONEEE J'onn monologue.