With a little bit of thinking you would realize this wouldn't be practical because of this....

If you remember what flops and cards you held in a spot you would quickly remember what somebody elses cards are holding "exactly" (since you held those two cards a few hours ago in the duplicate scenario). Even in a 6max game done 6 tables simultaneously you would know the cards.

It would work if we were all computers and could duplicate all the cards and flops, and were able to delete our memories...

Therefore truely randomness makes poker sweet in the end....