I pray to whatever benevolent deity that when Trek returns to TV it is in the Prime Universe. A child/descendant of Spock wouldn't be a bad thing, I'm pretty sure when they were first starting to create TNG they planned on having Spock's grandchild on the crew as, like the OP said, a direct connection between the series.
It would have to be prime universe. Abrams-verse never had the genesis planet, thus no dead Spock, and no Saavik or David Marcus yet. Just throwing some facts out.
It would only work in the Prime Universe, otherwise it might be a Spock/Uhura baby, which would make it obnoxious and unstable--poor kid.
Commander Austin Harris, First Officer, Deep Space Nine (by FltCpt. Bossco)
8.01 - Darkest Before Dawn
(Chapter 8 added, 12/09/2015)