@Bengon yeahh, people see a fight scene and only see a fight scene, forgeting that it was obvious that Inukai was going to lose, therefore the author must had some kind of agenda behind that scene. And if people thought just a little bit about that they would see it as the famous martial arts cliche of talking with the fists.
This fight wasnt about Kaname, but about Inukai who couldn't accept the fact that this newbie who he could crush and chose not to, just a few months ago, somehow became the leader of the top notch clan in the game, winning 2 events so far, someone that Danjou-san, the man who Inukai sees as a role model, acknowledge him as a superior. Racionally he can understand that, but emotionally he cant, it's too much to grasp.