If you mean "as in the OG", then such cycle doesn't exist, at least in the Remake trilogy, except in Rebirth (because she lost her memories of the future); to me the OG simply does not exist in the Remake scope. And I wouldn't be surprised if LS!Aerith sent her younger self all this knowledge (maybe they will hint at it, but I'm not sure). So I am excluding the OG timeline, as Re-trilogy's timeline is supposed to replace it.
You have to imagine that "our" Aerith became "CoLW!Aerith", then the events in Rebirth happened, and she decided to place herself right before dying again, so she'd gain more power and knowledge as her human body dies, in order to face Sephiroth (whom she is scared of in CoLW; she actually hid in her world). In order to drumrolls actually change the future (and thus, AC/C could happen).
LOL people who think AC/C is going to get retconned absolutely do not understand its importance to the devs and to the Compilation. I mean, I get it, if I could, the plot would be vastly different, Cloud wouldn't be such an emo prick, it would be better written...
But AC/C is going nowhere. Worst, the devs have repeatedly said that the Remake trilogy would lead right into it!
And what people don't understand is that Cloud going back to AC is exactly what's going to be written. We're going to have hints about it. Do I hate it? YES. But I'm not blind, nor deaf, and when the devs talk, I have heard them say since the beginning "we're remaking the OG, expanding on it, tying the Compilation to the story, but it's the same story", and it's something some fans have been refusing from the start. Yet here we are at the end of part 2, right after Aerith's death, still following the OG.
What's the point? Discovering the story from another angle, with high definition graphics, updated battle system, more of the world than we could imagine... I mean, are we gamers or not???