I don't see how it could be the future of the Abramsverse. The likelihood that, in that timeline, any of the characters we're familiar with would even exist at all, would seem to be very low indeed.
Remember the butterfly effect. The existence of Abrams versions of characters like Sisko, Worf, Bashir, etc. is highly suspect - history would have diverged so much that they might never be born. There may not even be a DS9.
You may as well ask how the Mirror Universe had the same groups of characters in the same places - especially in DS9/on Terak Nor, after the major effect Kirk Prime's intervention had on Mirror humanity...