Illaoi is a Hedonist
At its simplest definition Hedonism is "a school of thought that argues that pleasure is the primary or most important intrinsic good. In very simple terms, a hedonist strives to maximize net pleasure (pleasure minus pain)."
Comparing the basic understanding of hedonism to Illaoi's quotes draws interesting parallels, if not outright reflection.
> If I hate something, I destroy it. If I want something, I take it. > We are born knowing what to do. We must only act. > It is terrible to be satisfied. The world needs us to chase dreams. > Life is the sweetness of fruit, and the joy of battle! > Chase what is desired. > Honour? Duty? Ha! What your heart demands is all that matters. > Good? Evil? Why should we care for such things? > No love is impossible, my god demands you follow your desires. > Live your life, chase what you desire, what else matters? > Even if I die, I die in motion.
Taking her words at face value, Illaoi seems to fall under the category of Folk Hedonism, "a person who seeks out pleasure for themselves without any particular regard for their own future well-being or for the well-being of others."
Nothing terribly important, but I thought it was interesting; hedonists aren't frequently represented or explored in popular media.
Edit: One more interesting note is the etymology behind Nagakabouros' name. "Naga" comes from Hindu mythology and are entities which embody both human and serpent traits. "bouros" seems to reference Ouroboros, the tail-devouring snake, an icon that reflects the concept of an eternal return, similar to rebirth. Some of the earliest incarnations of this icon can be found in Hindu mythology as well, such as the animal halo that surrounds Shiva who represents the duality of creation and destruction. In addition to this, modern interpretations of Ouroboros occasionally involve the idea of self-destructive activity.