That's why it's a "Alternate Reality" & not just a "Parallel Universe".This is pretty much how I've come to view it, although I tend to completely disregard JJ-Trek. It was just too far off-base and silly for me.
Too much has changed due to Time travel by Nero and the Narada that was enhanced by "Borg Tech".
Their universe got altered in such a fundamental way that it branched off and isn't parallel to our Neo-Prime Timeline.
A certain B'ellana Torres getting split into two people, one Klingon, one human would've benefited from this.Altering someone's DNA just like that should be a bigger deal than is presented here. For one thing TOS established Spock's heart was where his liver in a human would be or something like that. He should be on the ground writhing in agony after Christine injects him.
Considering that M'Benga and Chapel obviously have no idea how to completely alter someone's DNA, curing Spock should've been a bigger deal. Starfleet Medical swarming in, etc. M'Benga and especially Chapel being bombarded with questions and interviews. The fellowship thing would've been an afterthought if it was even remembered.
And we also have this question of why no one uses this tech ever again. A certain Geordi La Forge born with a congenital disability certainly would have benefited.