I mean, it's easy for Epstein to invite influencial people to his island and make them guilty by association. That in itself is power. And I do not doubt that he would make use of such a power, he most certainly was aware of.
It also creates some form of plausible deniablity if he mixes people that are there simply to network/talk/ have a holiday with people that he invites on seperate occasions for c**** s**.