Right. Sort of like how nobody seemed weirded out by the fact that Kirk had an adult son named David. They knew about it already, or at least knew enough about Kirk to know that he had a son even if they didn't know anything about him. Same thing in STID: they knew about OldSpock's time adventures. Which is why Uhura doesn't question him when he asks her to route a call to New Vulcan. The game was actually pretty good, it's the comics that have started to get lazy. Either way, the tie-in marketting isn't that crucial to the film in the first place; again, Carol and David made their debut in Wrath of Khan and their existence wasn't even HINTED at in the prior Trek novels (or the Animated Series, which for years was also considered a non-canon tie in production).