To my understanding, the Lost/Rikti are hostile towards the CoT in this mission but when I just did it CoT were also hostile to CoT (at least to some extent). When I found Percy Winkley, there were two spawns of CoT nearby who started fighting with each other and the ones that were not guarding Percy won, so I completed the mission without having to do anything except get close enough to trigger them. My low damage defender isn't exactly upset about not having to fight, but it doesn't seem to be working quite as intended.