Crocoga probably faired the best out of the four islands after they split, if only because it still drew energy from the swirling ocean of energy that had kept Homura afloat when it was whole. The island's inhabitants had desired their ruler's descendants to have a power similar to what the other three new islands gained, and so the Mage fused the core with their blood, allowing them and their descendants to use the extra energy from the core to perform powerful, wonderous feats.
Not all future carriers of the ability used it for good. Some were known to have destroyed other islands with the vast amount of power they had been bestowed, while others eradicated whole sections of races.
