Noct is saying a lot of things, but nothing that makes her think her theory is entirely wrong. She just had it the other way 'round.

"Okay," she begins. "So the Crystal is your cocoon, your body has probably been dissolved to magic—like how we use the aethernet at home—and you're absorbing all the Crystal has to offer to fuel your transformation into the Dawn King. Your assimilation of the memories within the Crystal is too much for your mortal psyche, so just redirect the memories into storage crystals. Since you're here the memories must already be all inside your mind, so it shouldn't be hard to shove them all into crystals like the Ancients did."