They neglected the structural integrity while they were performing the soul search. It was as if they were performing the soul search just to torture the gem kings.
But they didn't let their anger blind them into destroying the minds if the gem kings before they got the information they wanted from them. After all, the priority of the soul search is stilly he acquisition of information, not torture.
The soul search helped them to learn about the plans of the Ivory Emperor to tell the other gem emperors about their mothership and gather more helpers to enter the Aries world. They also learned about the new location of the largest leystone.
Sword Flash took the information about the Ivory Gem Emperor bringing more helpers seriously. So he decided to join Thunder Drake and Lady Evergreen on a trip to destroy all of the leystones.
