The pilots of TTGL were thrown into alternate dimensions to prevent them from piloting TTGL. They broke out of that. Something as simple as paralyzation won't stop them.
That's specifically because of how the mini-universe works. Still, I wouldn't be surprised if the pilots could indeed break free from it.
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"As the size of an explosion increases, the number of social situations it is incapable of solving approaches zero." -Vaarsuvius, Order of the Stick