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I remember people were discussing if twst is not about the biblical seven deadly sins, but about the seven social sins. Well, look and behold, each chapter does represent the social sins. Note that not all of them are comitted by the g7 incarnate of the chapter themselves, but do lead to their overblot somehow.
Chapter 1: Politic without Principle
Riddle actively reminds people his policy of the absolute-ness of the law, that the law, even on the smallest detail, must not be crossed. However, Riddle lacks a principe he have for himself, for his strict lawful policy was something his mother taught him, but not what he learn for himself.
Chapter 2: Pleasure Without Conscience
Leona enjoys power greatly, be it about his power of being a prince, or as a dorm head, with little to no regard to his responsibility, overusing power with no caring of the drawback. And when Lilia reminding him about that conscience, he overblots.
Chapter 3: Commerce Without Morality
Pretty explanatory, we know Azul makes his trades without feeling any sorry for his victim and gives so little about moral, that ends up backfires on him that , he can keep absorbing other powers, just, the container is too small and it makes him go overblot.
Chapter 4: Wealth Without Work:
Now, the sin itself is done by Kalim in which it led to Jamil overblot. Kalim does minimally for all of his clan's wealth that includes Jamil's family as their servants for generations, that he seemingly can get so many with so little work, and this makes Jamil envies Kalim so much.
Chapter 5: Worship without sacrifice.
Another chapter where the sin is done not by the overblot. Rook, in his worship of beauty, refuses to call out vil even once until he overblot for he enjoys the beauty of vil's mental breakdown (he actually spelled it out himself) , and neither did he make it clear which he will chose, neige or vil, not wanting to lose either of them.
Chapter 6: Science Without Humanity
Again this chapter is pretty self explanatory, Idia certainly create the new Ortho with little to no regard to humanity, and even then, as much he supplies Ortho with his hardware, he often unintentionally ignors Ortho's humane, emotional needs like going out with him.
chapter 7: knowledge without character.
Malleus, being a fae, possessed more knowledge about magic than the entire mortal civilization, with no mature character to properly manage said knowledge (and his immense raw power to actually do the magic to boot) , that emotionally, he is but a child throwing tanturms when things didn't go his way, but with all the knowledge and power to twist (heh) the world to his desires.