In order to complete both quests, Kai has to accomplish something which was killing the three adventurers who brutally killed Sima.
Sympathy? This word can eat? Well, he had no remaining sympathy or conscience to kill them, especially if we were talking about Zorn, Capel, and Kain. Why? If he let them survive more adventurers would surely suffer in their hands.
Back in Isabella's secret house, the three of them were lying on the surface while the binding magic was cast on them. They were just making sure that no one could escape from them no matter what kind of occurrence happened.
Moreover, red blood was flowing on the wooden surface, noticing Kain was already on the brink of death because of the severe damage he received.
At this point, Kai wanted to finish them as soon as possible, knowing he already spent so much time on this quest. At the same time, he doesn't have enough time to train his [Appraisal] skill.