The Elemental Culinary Artem as the name suggested would give the users the ability to use the elements that a beast would have in their prenatal form.
For example, a Dragon was mostly considered as that of origin of water and most of its powers would be associated with that of the element of water.
Though there were many kinds of dragons that would have their natal elements which would differ like there were some fire dragons, earth dragons, thunder dragons and such.
But the most powerful element of the dragons was the water.
Or it would be better to say that Dragons were the best beasts that had the power to wield water to its utmost power.
And the same was for the Little Sparrow who was a Phoenix, which had its natal element as Fire.