So I'm going off very little here, but listening to the lyrics of Equilibrium I couldn't help feel like there are some big similarities between the initial summoning of Sophia and the summoning of Lakshmi in Stormblood.

We know that at least some primal summonings are based on legends of real people or ancient stories (Garuda and Thordan are prime examples) so a wonder... might the tale of the summoning of Sophia to restore balance to a grieving mother who lost her daughter be the basis of what eventually became Lakshmi, who was also summoned to try to restore balance to a grieving mother who lost her daughter?

Does anyone know anything to support or refute this hypothesis?