Well, I think you thought what a normal player would have thought.
Is it like getting back the memories of a past life (sort of like a reincarnation)?
Yeah, I pretty much agree with you on this point. But as your read in game (the elevator scene), the two different (and separated) personalities actually struggled within -- both want to emerge to the surface. She even didn't realize what she was talking about.
At the end of the game, the two finally merged as one.
"....
Ah...who?
Fate...?
Life...?
I'm not even sure myself...
But I didn't mean Lynx or any specific thing.
I can't explain that well...sometimes I feel like there's another myself inside me, it is always watching, quietly, no matter how stupid my actions are...
I feel... it sounds like a funny story..."
"In this world, there's no such things as 'certain' or 'absolute',no one can make such an assertion, no matter who. But....thank you, Serge."