Um, where do yo get the idea that Chapel didn't know T'Pring?Not rose colored glasses. Sure there were errors here or there or things changed like no woman in Starfleet. But the Kurtzman era has gone out of their way to INTENTIONALLY change well know story points. Spock had a wife and Chapel didn't know T'pring for example. That is a HUGE change and people can skirt it all they want to. Fun house sized the online interiors, Kirk knowing Pike, A khan descendant arriving with Spock. The list goes on....
She and Spock never say anything to the contrary and it's Uhura who says: "She's lovely Mr. Spock. Who is she?" in TOS S2 Amok Time (and to date in SNW Uhura has been off the ship or just not around when T'Pring has shown up. They have never met/interacted in SNW.)
Guess you don't know TOS all that well, do you? (Me, I saw the 3rd season first run on NBC as a child in 1969, fell in love with it and have been watching ever since.)