This touches directly on something that I've recently realized myself...
It seems that everyone (including me, until just recently) assume that since the point of divergence of the two universes/timelines/histories is the Naruda's arrival...that both universes had to be exactly the same - indeed, were
the very same - right up until that point...and only ever different after that point...
...and many fans complain about inconsistencies (or more often, seeming inconsistencies) that occurred before as horrible "canon violations" and such...because right up 'till Nero, but universes were that same single universe with the exact same past.
HOWEVER...
All through Star Trek - from TOS to First Contact and the TCW - we have seen how, through time travel, the people from the (subjective) "future" alter the subjective "past".
But nuTrek - the JJverse, whatever - would have a different *future* too...with the future crews' going on different adventures - or some adventures - such as trips into the past - perhaps not at all. (But we kinda assume *similar* futures, because it is the Trekverse, and so there is this synchronicity between both universes - as with the "Mirrorverse" - because we want/need it to be there...and write it into stories as a feature of the larger Trek multiverse....)
But since in Star Trek the future events affect (effect?) - even reshape - past events...then there would HAVE to be this "ripple effect", with the Naruda's arrival causing (to borrow a phrase from Doctor Who) "wibbley-wobbly timey-wimey" change
*both ways*. (So both universes were still just
one - and the
very same - up until Nero arrived - but as soon as he and his gang did, the whole timeline was affected both ways!!!
So
NOW the nuTrekverse need not have the very same exact past as the TOS-TNG universes.
Say, perhaps in the JJverse, the Enterprise-E crew never has to travel back and help Cocerine with his warp flight...and no older Spock ever had an impact on a younger Spock in Vulcan's past via the - perhaps never encountered - Guardian of Forever...? (Think about it...if it did...nuTrek's Spock would have memories of meeting a future self...that was NOT
HIS future self... Assuming TAS is "canon", lol - I mean, we all
know at least
that episode has to be, right?

)
So nuTreks past is as free and open to re-interpretation as it's present/future. Sure, some things - many things - were likely very similar, but not
exactly the same...and other events didn't happen at all...
Perhaps no future Sisko replacing a Gabriel Bell...no Voyager jumpstarting the computer revolution.
No Temporal Cold War
AT ALL.
Heck, in fact, nuTrek's past (timeline) could be *purer* that the TOS-thru-TNG era timeline...with less intervention!!! (Baring the argument that the "intervention"/"pollution" weren't just examples of pre-destination paradoxes - and how things were "supposed to" - *did* - happen the "first time around"...)
(Is this making any sense...??? I have been sick and insomniac for two days...so probably just rambling a lot...)