Kind of an ITS question, but am I right to say that since you can only achieve Predator at the end of the game, it must be one of the revealed classified objectives at the end of the game to score it?
" If the deck runs out of cards, shuffle the discard pile into a new deck. Any Current Mission Objective that is checked “at the end of the game” can be accomplished at the end of any Player Turn. "
It's really the only past tense card. As written I'd say yes, but I'm not sure if that's desirable so you may want to discuss this with your opponent.