The A12 situation happens within Alexander, so I'm willing attribute cases of non-linear time happening there as being possible.
In reality, a single small change would probably cause huge differences to the future, but the idea of the general flow of history being harder to change is a staple of the time travel genre.
It just makes things easier for stories having the changed thing in the past only affect things it was directly involved with in the future.
Meteion being tagged for instance, is an obvious major thing that can be taken advantage of in the present, but would be completely irrelevant throughout the rest of history.
Otherwise, the difference is that a single person has foreknowledge, and we see her try to do things differently, but fail.
Narratively, there's no reason for the new timeline to be much different after that before the present day.
It doesn't really matter in the end, because any previous loops are hypothetical. The original could have been vastly different and it stabilized over thousands of loops. The logic behind it is the same though.
Personally, I prefer it to there just being impossible paradoxes that have no beginning.


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