The Unwritten Laws of Martial Honor Chapter 403

Since the panel was established, Logan Chu would receive more or less chivalrous value rewards whenever he captured any powerful martial arts master.

The definition of "take down" is quite broad, including killing, capturing alive, and defeating, and the targets include but are not limited to criminals.

Perhaps, the behavior that is rewarded with chivalry value is to be chivalrous and righteous.

To be chivalrous and righteous, you don't necessarily have to kill or capture people. Defeating the enemy, stopping their behavior, or suppressing their nature can all be included.

In short, as long as you defeat your opponent, you can gain chivalry points.