I see that you does put effort into showing how the Lust Rush still effect when Cody try to ignored it in Alvy route.
And so my assumption was correct? We're doing a seven deadly sins? Pride, Envy, Lust and now Alvy with Greed.
Well, the game introduce us to Scribbles which is a demon of Lust. Then we sees Therium also in contact with a demon and gains his power, Therium clearly have tendency towards jealousy. Which can be theories that his demon is Envy. Then Alvy dialogue with his ring where the said "Greed is ntc" and SCRIBBLES felt that the sentence was familiar.
Not sure if principal Lion is possessed by Pride or not but he sure is prideful.
I don't think there's any complications to it. Just another generals shounen who are useless, who made a friend with his inner demon to becoming powerful enough to fight against others demon or made alliances to some.
Seven deadly sins are a concept that are familiar and doesn't makes much of a difference to the plots. It's just add a touch to it, sound cool and think who as who yada yada.