Something to keep in mind: The whole point of the last movie was to give Paramount their own Star Trek franchise to play with, without having to share with CBS. Based on that, I suspect that any new series would be a Prime Universe one, not JJverse.
So let's say all the TNG movies were resounding successes. Paramount would have stopped making them anyway, because the profits are all going to CBS?
Why were they making them in the first place?
Everything in the new movie is sufficiently different to qualify as a new product. The only thing Paramount would have to pay CBS for is the names that are registered trademarks (Captain James Kirk, Mr. Spock, U.S.S. Enterprise, etc.) and maybe not even that, depending on how that division of the franchise was drawn up.
"Kirk," "Spock," "Enterprise" and "Star Trek" are by far the most valuable parts of the franchise. All the details that go into the stories - the color of nacelles, what Klingons have on their foreheads, how short the skirts are, what universe the characters think they're in - are trivia by comparison. Those names are the franchise, just like the name "Big Mac" is far more valuable to McDonalds than whatever crap they actually put between the buns.
But in the end, CBS got all the properties that were formerly Paramount Television, while Viacom got Paramount Pictures (the movie studio). Paramount no longer really owns Star Trek, but they are allowed to continue making Trek movies under license from CBS. They have to pay to play, so to speak.
If CBS is licensing the rights to "Star Trek," then that's the relevant part of this discussion. Paramount must pay CBS for the rights to make anything called "Star Trek." They could make the same movie they just made and strip out all the identifying details that would get them into legal trouble, and not pay. They also wouldn't make nearly as much money without that recognizable name. Conversely, if they made a movie called "Star Trek," it could be complete nonsense to the fanbase and have nothing to do with any "Star Trek" we recognize, and assuming it had enough explosions and some bankable stars, it would probably do just fine.
So if Paramount is paying CBS just for the "Star Trek" name, they are paying for the part of the franchise that matters - the part that makes money. Having characters in the movie state that the story is now taking place in an alternate reality has no bearing on what part of the franchise is worth paying for, and must be paid for.