I suspect that if there ever is a novel where the characters of TOS meet their alternate nuTrek selves (as unlikely as it seems now), it'd be a perfect fit for DTI adventure.
Well, no, not really, as there is absolutely no way for the DTI of the prime universe to know about the Abramsverse. From the prime U's perspective, Nero and Spock vanished and were never seen again. There's no way for anyone to know where or when they went.
If you're suggesting that the
Abramsverse DTI could get involved, then yes, there's stories there.
If only to definitively answer the question that has been plaguing the XI+ forum, off and on, for years now: Is Data's head buried under the San Fransisco of the Abramsverse?
There may not even be a Data in that universe - the likelihood of any of the TNG characters existing at all, given how wildly the universes diverged, is extremely low. And if there was a 'nuData', it's unlikely that his head will face the same fate. So my guess would be: No.