Each element has a weakness of some sort in their Burst build. A perfect Burst build needs healing, -50% ATK/DEF (3 abilities minimum, generally 4 if you won't use Vine), at least +15 Burst gauge, Affliction resistance down, and Overdrive extension. That's ~8 abilities and you only have 13 slots (+1 for Shingen's EX). In general, each kamihime will have 1-2 abilities that cover these core needs. Getting all 8 at once is more or less impossible. Let's examine.
Water: Missing Affliction/elemental resistance down. If you run this as EX, you'll need Ryu-Oh to cover overdrive extension. But if you run her, you can't run SSR Nike or Snow Raphael, which means you'll be missing healing or -ATK.
Dark: Close to perfect (has to choose between -DEF and utility skills like Cleanse and Dispel), but the build requires Dark Amaterasu, who is limited. Otherwise it's missing -ATK or overdrive extension.
Light: as discussed; has to choose between -ATK, -DEF, or Black Propaganda
Fire: Has to choose between -ATK and -DEF. Deficient in healing.
Wind: Has to choose between Black Propaganda and Affliction resistance down. Also needs to run Vine unless the player has access to Hraesvelg (Wind's +100% eidolon).
Thunder: Missing 2+ debuffs (including Sniper Shot and overdrive extension). Baal's super elemental resistance down has a halved duration, making it extremely difficult to keep up. You'll likely end up using it to reduce affliction resistance or DEF, but not both. Thunder's only good healer (Thunder Aphrodite) is limited.