In order for a memory to really be called a memory, it should have some sort of an interpretable effect on the future.
For instance, sure, a butterfly flapping its wings might have been a necessary factor for this hurricane to have happened, but we wouldn't say that this hurricane was a memory of the butterfly flapping its wings. Does chaos theory square classical physics with human agency-]
On the other hand, we could say that the hurricane is the memory of a particular climate pattern in the Atlantic, because we are able to use the fact of the hurricane to back out something about the past.
X causes Y if on average given Y you can make a prediction about X?
Anyways, so the question is, sure, we'll have bits and what not that last millions of years, but will it still be intelligible? Can it still have causal effects?