Leiji is a tyrant... but I think he is the type that doesn't like to hurt people or see them trampled underfoot without reason.
Levialon has a more militaristic feel to it, a kinda obvious remark, but... well, I do think Lady Levi doesn't want to conflict but i have my reservations about the very concept of military school.
The concept of indoctrination exists for a reason, and history has already proved what any institution at any time does when they focus on "teaching" young minds the ways of military thinking.