LG is about using an Ordered Civilization to achieve a Good purpose.
Erathis is just about Ordered Civilization, not so much about the Good purpose.
Erathis thus is appropriate as Unaligned.
PM, I agree with your reasoning. I even think that is exactly what the writers meant. The problem is that sometimes their words support that meaning, and sometimes they don't.
For example.
We find "Erathis is the goddess of civilization" on p. 21.
We also see "Lawful Good: Civilization and order" on p. 19.
To read these two things, and then to read that Erathis is unaligned, makes me sit up and say, "Huh?"
Sure, it can be explained. But it could be written more clearly in the first place. Perhaps "Lawful Good: Civilization and order used for good purposes." As written, it creates a disconnect. I guess some people aren't bothered by it, but it bugs the heck out of me.
There are other statements that contribute to the disconnect as well. On p. 19, the subheading for Lawful Good is, "An ordered society protects us from evil." I think what the writers meant was, "An ordered society can protect us from evil." Or even, "An ordered society can best protect us from evil." But as it stands, what it says is that ordered societies, in and of themselves, protect people from evil. It's a fine distinction, and the meaning can be worried out of it - but I wish it were written to say what it meant.
Ironically, later in the same description of Lawful Good, the writers say that ordered societies can in fact be evil. That's how you know that they didn't really mean all ordered societies are good. But that's not what the subheading says as written. It's all a big muddle.