We shouldn't be gaining influence for killing looters and bandits, it makes no sense that we do and it contributes to the game feeling unimmersive. Getting influence for killing looters is the equivalent of being elected an MP or a senator for killing homeless people on the streets. It especially becomes a glaring immersion issue when we make bank as a mercenary for killing bandits in for example Vlandia while we are serving the Khuzaits in the opposite corner of the map.