Do you think they would use a concept introduced by another series than TOS?
They already did. Uhura ordered two Cardassian sunrises in the bar scene. They referenced Admiral Archer. The term "katric ark" is from
Enterprise, though they used it differently in the movie. Spock Prime's implicitly friendly relations with the Romulans seem to be an outgrowth of his work among them established in TNG: "Unification" and the Federation-Romulan detente seen in the Dominion War arc on DS9 and in
Nemesis. And if you're defining "other than TOS" literally, the Spock childhood scenes are basically a rewrite of scenes from the animated series's "Yesteryear," and there are references to the Kolinahr from TMP and the
Kobayashi Maru simulation from TWOK.