I don't know how much clearer I can be. You can't be both Lawful Neutral and Lawful Good at the same time, because those are two different alignments. It's like trying to explain why "up" isn't "left".
Yeah, it's because I think it they will choose which of the non-specific axis they are in each game while you think Orthodox people are required to be neutral on the non-specific axis.
And so, by that definition, I understand (but don't agree with though I'm starting to have doubts) the requirement that orthodox order is lawful neutral. By extrapolation, orthodox RoK must be neutral good, orthodox empyrean must be neutral good also, orthodox fellowship must be chaotic neutral, orthodox OO must be chaotic neutral, and orthodox AV must be neutral evil.
Curious... do you agree with all those requirements as well as the one for Orthodox Order?
Yes. I never meant that they can only be Lawful Evil, just that I personally dislike any Order society more than I do other Any Evil societies. They're "evil" not "Evil".
I'd suggest not to use a game term in some other definition of the English language... just causes confusion during discussions.

(I can be bad on this too but it's something I've noticed before so I try to avoid it.)
You can make up for Evil acts, just not by "doing them in reverse". It's not enough to just give back the ribbon. If you kill someone, it's not enough to resurrect them; and especially not having a kid. It's strange since they are each others opposites, taking a life and giving a life.
Why isn't it enough? (We need an answer to that question to determine what
would be enough.)
Ditto for Good actions. Saving someone's life at great risk is Good, refraining from saving him isn't Evil.
That's not comparable. Doing/not doing are not opposites in the same way as taking/giving back.
Need an answer to the first and a better example to the second before I can really respond to the concept (orther than what I previously said which is
Of course one could argue that my examples aren't the opposite action, they just look like they are.
See above.
To a great extent, the point of "opposite" is sophistry anyway. To me, the issue in question is making the situation whole. If you steal an item from somebody, to make them whole we need to not only restore the future availability of the item (in the same condition as it would have been) but we need to compensate for the lost availability of the item while it was gone.
If the item was returned before it was noticed to be missing, then that would be sufficient to restore the situation. If the person not only noticed it was missing, but needed it for something, that's when additional measures are necessary. Otherwise, there will be some degree of movement on the good/evil axis which remains.
Same is true for any other good/evil act than theft.
No, you have to spend resources to maintain any alignment. If you don't, you'll move towards Neutral/Neutral by the law of averages. But if you don't bother about your position on the Chaotic/Lawful axis, you will have more resources available for being Good/Evil.
If you are Lawful Good then occasionally you will have opportunities to do Chaotic Good acts, that move you further along the Good/Evil axis than any Lawful Good, or even Neutral Good action available.
That confused me... I thought at question was your statement (paraphrased) that Chaotic can be more good than Lawful. So, shouldn't the above say "If you are Chaotic Good then occasionally you will have opportunities to do Lawful Good acts, that move you further along the Good/Evil axis than any Lawful Good, or even Neutral Good action available."
If so, then the only way it would work is if the CG person does not get "Good credit" for doing a LG act (= an act which is required by the laws of the LG society). But the converse would also be true: A LG person does not get "Good credit" for doing a CG act (= an act which is required by the CG society). With the assumption that a LG society has more such laws than the CG society (though "laws" might be the wrong word because presumably a CG society has conventions or traditions or whatever that implement the CG nature of the society). Which I suppose might be the case.