Гейдер о демонах: Где-то заплакала одна маленькая Хотелочка...This is essentially it, though the hierarchy itself is a construct of human observers and nothing that the demons themselves abide by. There is room for nuance among the demons-- you could, for instance, encounter a powerful Rage demon that focused on Retribution... a very powerful and complex motivation beyond simple anger. On the flip side, you could find a much less powerful Desire demon that focused simply on Lust. The more complex the demon's demesne, the more psychic "territory" it possesses in the Fade and thus the more powerful it becomes.
There are also some demonic "groups" that haven't been placed on that heirarchy (primarily because we didn't want to discuss demons we weren't going to show), but they definitely exist: Fear, Despair, Envy and Remorse being the primary. These are often looked on as sub-groups of the other types, but the demons would likely disagree with such an assessment (they're a territorial bunch).