A new AI in a new future...
...that still built the same Terminators?
shareOne could hope that there's a mystery there to be solved, but I wouldn't hold your breath.
shareNeither would I. After all it was never explained how it was possible for more terminators be sent to the past in T2 and T3 when according to Kyle, the time machine was destroyed after he went through. Of course how would he have know for sure it happened other than he was told that was the plan?
The problem with time travel is that if it works and people in the future figure out what happened, they can keep changing things.
So, the first person thinks the time machine got destroyed, the people in the future think may that could happen, so they send someone to stop the machine getting destroyed which further changes things, and so on.