Maybe it's because I play with lategame scaling difficulty, but that has definitely not been my experience. By the time everyone declares crisis war of them, it's either that they've gained enough menace in my process of wiping them out, significantly bumping the difficulty of the task, or they start eating star after star, empire after empire, with regular AI unable to stop them without my or FEs' help. Speaking of, FEs are much more of an issue with crisis empires, as you're unable to occupy territory they seize in their humiliation wars in the middle of "oh, $#!+, they're blowing up the galaxy, stop them!" war.