Toudou is confusing, honestly. I thought he was chaotic, but his actions are much more consistent with Neutral Evil. He let Lucifer deal with Yukio despite his own personal desire to meet Yukio again, prioritizing the organization over his personal wants. Likewise, despite lecturing Yukio about family constraining him, Saburota has a relative working also in the Illuminati. That indicates that Toudou is flexible about his desires, willing to put them aside for a central goal.
Perhaps he can't capture Yukio by himself (that's what happened in IK arc) so he told Lucifer for his own benefit. Besides congratulating Lucifer, the only thing he did for the Illuminati we have seen so far is to help transport Hachiro (after Shima finished the more difficult part), unlike the other Toudou who apparently leads a group of people and joins the meeting. Until now we almost don't have any evidence whether he is loyal to Illuminati or using Illuminati. So I still regard him chaotic at this point.
What you describe sounds like Neutral to me.
Someone who wholeheartedly joins an organization is Loyal, someone who joins an organization to use it for their own benefit is Neutral, and someone who's Chaotic doesn't join the organization at all unless forced to.
It'd be hilarious if Yukio acts like he's evil but blocks the Illuminati from hurting noncombatants and others on his missions. It'd be like, dude, you suck at this whole evil thing.
By the way, this made me laugh so hard. That's something I'm anticipating. But the comedy of it only hit me when I read you say it.
(EDIT: Actually, the fact he said he's now evil for joining the Illuminati might confirm that he's Good instead of confirming that he's now Evil. In other words, instead of Yukio meaning "I'm evil. I want or at least don't mind doing evil things. That's why I want or at least don't mind joining the Illuminati to achieve my goals", Yukio could mean "I need to join the Illuminati to achieve my goals. And as much as I don't like how evil it is, I can't deny joining it makes me evil by association". It's not like a Good character never does bad things, but when they do they feel bad about it. It's just that now he might be about to do an awful lot of bad things and feel awfully bad about it... So that would change my theory on Yukio to him going from Loyal Good to Chaotic Good to Neutral Good, while feeling increasingly bad about himself for the increasing amount of bad things he's doing. I guess we'll know the answer when we see whether he has remorse or not about the evil things he's going to do. Though we already know he used to have remorse about even the everyday slightly bad things he would do. So it all depends on how much he has changed recently.)
Lucifer might seem like he's doing what he wants since he's at the head of his own organization, but he's bound as anyone else inside the organization by the rules of that organization, maybe even more so than anyone else. Also he seems very loyal to Satan, so you can also count that.
EDIT: Yeah, forget about my last point on Lucifer. Satan is just one guy, so no matter how loyal he is to him, that doesn't count. But I still stand by my point on organization leaders. Leaders have to follow rules more than anyone else.
We don't really have many clues about how Illuminati conduct their rules. Lucifer killed Gedoin, but only after Gedoin failed in fighting and conveniently be brought back, which means it was no where near his top priority, otherwise he should kill him before leaving. Whether Lucifer himself bound to any discipline is also unclear. That's much different from Hachiro, who clearly has a fixed mindset about contract and promise.
It's true we don't know a lot about the inner workings of the Illuminaty. But huge organizations only works under heavy rules and discipline. Lucifer is at the very top of it, and he's not a shadow figure, he's a visible one. If he would break his own organization's rules, that wouldn't be a good image for his followers. So far he also seems like someone who doesn't lie, so I don't think he's breaking the rules behind people's back.
For Hachirou, from what we've seen, and like you said, he might seems like a Loyal Evil. But we haven't seen him act with enough people, and we haven't seen him confronted with societal or organizational rules. A guy living alone in the middle of the woods could be Loyal or Chaotic and we would never be able to tell. His relations to Shura and her ancestors are an isolated case, so we can't use that and say that's how he would act with others in society. Maybe Shura and her ancestors and descendants are the only ones he would ever be loyal to, while killing anyone else who crosses his path, which would pretty much make him Chaotic.
I assume all Amaimon said in camp arc is to provoke Rin since Mephisto doesn't allow him to hurt them. He did release Shiemi immediately. Seems like Amaimon doesn't see human as valuable as we do but that's kind of understandable.
When you want to kill or hurt people for fun and don't value their lives because they're just mortals who will die soon enough anyway, but in the end you don't do it only because someone else told you not to, that still makes you evil.
You're not helping your case here.
I must admit though, you had my attention at "it was just to provoke Rin". And I'll give you it's somewhat hard to tell with his lack of expressions. But I doubt he didn't mean what he said and did.
I think the exwires are only put to Neutral Good because the current jailbreak? They don't seem ever do other disloyal thing. I would say Koneko can still be counted as Loyal Good because I believe he is just loyal to Bon.
They're already at their second jail break.
A Neutral Good always put good actions over law and I have no doubt that's the type of people Rin and the others are. That's the type most "heros" are.
As for Koneko being loyal to Ryuuji, again Ryuuji is just one guy.
And in case anyone wants to say Koneko is Loyal to the Myoudha, remember him and Ryuuji and Renzou ran away from it to go become exorcists. It's not like they're completely disloyal to the Myoudha, but they're not completely loyal neither; they're loyal when it benefits them and when they think it's the right thing to do. That's what makes them Neutral.
BTW, how can we classify Shiro? Or we just don't have enough information yet?
Yeah, it could change as we learn more on him.
For now I'd say he was a True Neutral in the flashbacks, that turned Neutral Good somewhere along the way to make the guy we saw at the start of the manga.
