Its an interesting balance. I've mention this group doesn't like overt violence, even if their perfectly fine with cloak and dagger shit, because in their eyes it's wasteful, so they'll never openly defy Lucifer, but there are plenty of ways to make his job a lot harder without technically breaking any of his rules.
On the other hand, any plot to replace Lucifer as Lilith's consort either gets crushed by Lilith or Lucifer arouses and than Hell is reminded why the Dark Trinity is the immortal king even when useless.