The writers have said as far as destiny goes, Picard will still end up as Captain/Enterprise-D etc.
Where and when was this said?
The timeline is so incredibly altered there's no way the same sperm and eggs are gunna meet at the same time in the future. All it takes is one ancestor of Picards to change what they're doing one day and go check out that big drill weapon of Neros and everything has changed.
I don't want the same Ent-D in this timeline and I don't want Picard. It's a reboot and everything should be different.
You don't reboot an entire franchise and then turn around and say "but Picard still becomes Captain of the Ent-D". Why reboot it just to say everythings going to happen the same. It's impossible in such a drastically altered timeline for Picard to ever even be born.
Regardless of events, some things are just meant to be. It was just as unlikely for this entire crew to get together in these conditions but they still did. That's karma. They do have to take in consideration the drastic changes made, especially for Vulcan characters, but there's no reason to say future events cannot happen in a similar fashion.
There's similar and then there's mirror-universe similar.
The events in the new timeline are believable because only a single Federation vessel, handful of people and one pure badass were removed from the timeline. Then Nero apparently sat on his thumb for 25 years, allowing the effects of his actions to reverberate. While all the characters were inevitably affected in some way, Kirk was most directly, thus his blatantly different path to becoming a Starfleet captain.
The alternate main characters are all at least 25 yrs old or older (except for Chekov, who I guess is 17 and clearly not the same Chekov despite the name - the character's birthdates are different, for one, and Prime Chekov wasn't exactly the pride of Starfleet), so their births could reasonably not have been impacted by Nero's incursion. They're all the same genetically, with variations to how they were brought up, life experiences, etc., but essentially, they're generation would be recognizable. Only the generation prior to the incursion would be identical.
The next generation (pun intended) should be unrecognizable. The actions of Nero during the Kelvin Incident, his later attacks, Prime Spock's actions after being marooned and all the repercussions rippling from them (especially the destruction of Vulcan, loss of nearly 6 billion people, and the wiping out of most of the Academy class and loss of the ships which will never go on their own 5 year, etc. missions), should mean that any Prime Universe characters scheduled to be born after the time depicted in the film
can not exist as we know them. Some, perhaps, who came from isolated areas, say the Delta or Gamma quadrants (Kes, Neelix, Odo, Borg, Dominion, etc.), might still show up, but the vast majority should be gone, with perhaps a few following the Alt Chekov model of having the same name and being similar, but essentially just someone else with the same parents and name.
Destiny is all well and good, but to think there would even be a recognizable Picard, let alone an Enterprise D for him to command, so far removed from the initial temporal incursion is following the Mirror Universe mindset, which never made any sense whatsoever, regardless of how entertaining the episodes were.
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Does that mean the franchise won't go ahead and go with a hip, new Next Generation, Voyager and Deep Space Nine following directly from the New Star Trek? Who knows? I hope not.
Still, it might be fun to have a Captain Jean Luc Picard who's actually French.