Hamlets about working together. There's a reason why not only your name but also your linkshell is listed when offering items. It's to show what group you are apart of and if x person is getting crazy numbers then odds are it's because of the effort of the LS as a whole and he's nothing more then the one who's turning it in.

Though if I'm not mistaken the medals which increase in drop rate if you are the Top 3 are rare/ex so odds are LS aiming for those medals will take turns aiming for the top 3 and working hard in stockpiling mats/gear to turn in for each person so they can get said medals with greater ease.

Though here's a thing to think about. What if hamlet changes one free companies are released in 2.0. What if the "LS" name is suppose to be your Free company name and those affiliated will be granted the Hamlet boost rather then the single person. Odds are the system could change to this upon 2.0 so that rather then 20 people gaining a boost it would be 20 free companies gaining a boost during that round.