Personally I find it a more interesting challenge to try and explain time-inconsistent memories, phenomena similar to deja vu: believing that you have had a dream or vision of someone or something that you come to experience in real life later on. I think that our mind can play tricks on us, and our memories are especially fooling. We constantly rearrange them by recategorizing associations (a lot of it being processed during dreams), but we are almost never aware that we do this. Which can sometimes lead to uncanny experiences. I also think that we may sometimes form generic memories or concepts/percepts that still have to take on more precise shape to be useful, so this may be like an empty imprint that is planted somewhere that we fill in later with the details once it becomes relevant (a model or concept that is in development)... yet since it was formed in the past we are amazed about the apparent time-inconsistency, giving us the illusion of precognition! imho
Illustrative:
https://www.psychologytoday.com/blog/brain-babble/201208/the-neuroscience-d-j-vu
Oh, you temperal lobe once more (see post #12 and yes echoed in #14)! Shame shame