To be fair, the Sith within the Maw are basically a bunch of warlords struggling with each other inside an ever expanding pool of faction territory. While ostensibly that’s their goal, in practice different people are doing things differently. I’ve got Onrai managing a relatively stable eye in the storm of chaos with her control of Kiross right now.
Well, no, actually. There are Warlords in the Maw, but virtually none of them are members of the New Sith Order, which is tightly focused on its own goals - manipulating events from the shadows rather than openly ruling. The Warlords also are not really struggling with each other. They compete for prestige, certainly, but there is no current open conflict between any of them. All are focused on invading the galactic south... though if the strong leadership of the Dark Voice, Darth Solipsis, were ever to be broken,
then the Maw would risk collapsing due to infighting.
Broadly, I would characterize Mawite
Sith as Neutral Evil - doing whatever it takes to secure their own power, including manipulating both the Lawful Evil neo-Imperial forces of the Final Dawn and the Chaotic Evil religious fanatics of the various marauder tribes. I'm not aware of any members of the NSO who buy into the "War, Death, Rebirth" creed. They use that to inspire their followers while pursuing their own goals of domination - or, in the case of Solipsis, power over the laws of reality itself through mastery of the Force.
If people are confused about how the Brotherhood operates, I'd encourage them to talk with us. We'd be happy to clear up any misconceptions, and to work with anyone who is interested in writing a story with us.