I've heard "take the fight out of the fighter" described as "neutralizing the attack without 'neutralizing' the attacker". And I've also heard aikido described by one of my teachers, Anno Sensei, as an 'art of friendship'. While Anno Sensei formally represents neither one of the traditions mentioned in the thread name, the concepts seem to permeate.
It seems the heart of the matter is not to brutalize or injure the attacker when it's not necessary. Once he's out of the fight, you don't gratuitously hurt him--assuming we are able to put him out of the fight to begin with. That was where Mochizuki Sensei concentrated and it was why he had to stress not to do more than necessary.