Well, in that case, can you please clarify how it's possible to be both Chaotic and Good? Wait! Let me finish. I know that, in theory, the two are unrelated. But in practice the largely-Evil Hellknights are a force for Good!
Look, unicorns are allegedly Chaotic Good aligned and that works fine for them because they're savage forest animals. But we live in a society. We need Law to keep us from trodding on each others' toes!
It's Good when contracts will be respected without enforcement, and, failing that, good when contracts are enforced! Even if a given contract is bad and a better legal system would have banned it (or, as some Abadarans of my acquaintance would have it, even if a better legal system would impose a tax).
It's Good when people give their word and keep it, and it's Good to shame people who break their solemn oaths! Even though a given oath might be foolish and regrettable.
It's even Good when people are Lawful in little ways - when people are predictable in their habits, I can rely on them without fear, instead of, say, learning from the slavey that they took off on a boating trip for the purpose of recreation and won't be back in a week. I'm not saying that no one should ever have any fun, I'm just pointing out that it's harder to avoid having fun in ways that inconvenience others than you might naively expect. Enjoying yourself is suspect, not verboten.
It's Good that everyone obeys when the Lawful government decrees stupid and aggravating things like that the Green Market in Southshore close at 4 p.m. all days save Fireday, because even though this was pretty much the second worst possible way to handle that dispute, the worst way would have been leaving us to bicker indefinitely.
The Law speaks and all obey it, instead of pursuing their own interests or even pursuing their own consciences, and this is Good, because an imperfect peace is better than a perfect war!
I'm not defending Nidal, or even Infernal Cheliax. I can see why, if you pursue Good in Nidal without bias for Law or Chaos you'll end up Chaotic.
But in Korvosa? It seems to me that to be Chaotic is to make yourself an Evil foe of the peace.