I did state that "I want to point out that non-Lawful, even Chaotic characters can espouse some of these traits, but overall, they tend to be independent, self-willed, and free thinkers, who think that if the law is not a benefit, then perhaps it's time for a different kind of law."
Also, when did I say that a criminal organization could not be Lawful? I don't see why none of what I said applies. It's just that they adhere to the laws of their social structure, not necessarily the laws of the land.
But let's be clear- there is a difference between following laws because you believe in them, and following them out of fear. "Snitches get stitches".
As for Demons plotting, of course they can plot and plan. But their schemes have a strong tendency to be Byzantine and incomprehensible to a logical mind. Chaotic individuals are more likely to be ruled by how they "feel" about a situation than by facts.
EDIT: whether emotions have anything to do with alignment or not is not the case I'm making. I'm simply noting that it is a trend for Lawful characters to approach problems logically, without being guided by emotion, and the converse for Chaotic characters. Alignment is a guideline, only.