One is more like Lyristeon's, which is anti-"human" order or anti-civilization. This one to me really should be a lesser sphere dominated by true Chaos, perhaps called 'Anarchy' or something.

The other sphere is Chaos, or the true sphere. In this sphere anything goes, you do what you want when you want without thinking about consequences. This was Pico's religion. As he described its interaction with alignment, the "goodness" or "badness" of a character sways his choices so that the end product of Chaos tended to shift towards good or evil without 'conscious' direction of the character.

Lyristeon's religion seems to be more anti-"man made order," and thus someone *would* consider ethos when deciding who to fight. A follower of pure chaos wouldn't care at all.