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I just always took it to mean my character wasn't originally from whatever city or area that part of the script refers to. Like she could either be from a different land altogether, or one of the other cities, or from the outskirts of Eorzea, or just out in the woods somewhere. That makes me feel a little bit more free to build my character's history any way I want it even though I don't really put that much thought into it tbh.
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I think it's far fetched to think or have characters from a completely different universe/franchise/timeline but then thats just me.
The different world cannon of the FFXIV franchise where every single game is set in a different world was broken by this game with references to Lightning, Crystal Tower, Crystal Bearers, Warriors of light, armor and so on. So it could be a good and very logical possibility that you could be from an alternate timeline in which games like FF13 and FF3 took place aand it being completely cannon because the warriors of light were sent five years forward by a wizard so its not impossible if Hydalen pulled you from a completely diffrent timeline and gave you a new purpose.