Well, they both (according to Christian Myth) are truly bad characters.

The Christian Myth includes a quite specific definition of bad so according to the Christian myth only one of them is bad. Is what you mean that according to you the characters as described in the Christian Myth were both truly bad?

Basically, Lucifer's crime was one that is only a crime in a state where the King is seen as having divine authority to rule

That description loses something when the ruler is, in fact, God. One of the bad things about claiming that the king is king because God says so is that it is not the case that any god said any such thing. When the ruler is God then yes, God does say so. The objection that remains is "Who gives a @$@# what God says?" I agree with what (I think) you are saying about the implications of claims of authority but don't like the loaded language. It confuses the issue and well, I would say that technically (that counterfactual) God does have the divine authority to rule. It's just that divine authority doesn't count for squat in my book.