i think the rewards are character bound, and unlocks diminished rewards for all characters on the account, so it might be that you want a second DSC Klingon it might not be practical, but yeah it might be fun like I made a Seven of Nine when they had the Delta Recruit, or Daniels when they had Agents of Yesterday, maybe a J'Ula, Aakar or something that is a Klingon Recruit, maybe the Discovery title "Remain Klingon"
Due to the Delta event having additional rewards for a character completing Klingon and Romulan content arcs, that event was probably the only one you might consider making more than one recruitment character, although I cannot remember if the extra rewards were worth the extra effort.
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But no, adding a 2nd, 3rd or 4th recruit WILL NOT double, triple or quadruple the account-wide rewards for this recruiting event.
Ah, that's too bad.
I suppose it would unlock the account-wide benefits of progress on the first recruit... don't know if it would be worth it just for that.
Well thanks for letting me know though before I wasted another slot.