The unique, character-specific Cosmic Talismans all feature these same base stats for the sake of universal versatility:
HP, Attack, Magic and Special
However, these base stats are only meant to be supplementary to the unique set bonuses which truly set them apart. The percentage all-stat bonus featured in these talismans is also designed to help boost the other talismans you use on them with the stats you want to build for.
I can confirm that the Shinobi Cosmic Talisman is exclusively compatible with the 6 Shinobi Maidens currently in the game:
KURENAI, SHINOBI ROGUE
MINAZUKI, SHINOBI SPY
ICHIYOU, SHINOBI MEDIC
IBUKI, SHINOBI RANGER
KOKÚ, SHINOBI BANDIT
MITSUKO, COSMIC SHINOBI