"Etched in the clay is one of the story's key elements: It describes how the animals must enter "two by two"."
This contradicts Genesis 7 (deriving from the "J Source"), where only the 'unclean' animals enter two by two. The 'clean' animals and the birds enter fourteen by fourteen. Thus, when the J-Source author has Noah sacrifice some clean animals after the Flood subsides, Noah doesn't cause those animals to become extinct.
Of course, the clay tablet is consistent with Genesis 6 (deriving from the "P Source"), where all animals enter two by two. The P-Source author does not depict Noah as sacrificing any animals, so 1 pair of each animal is enough -- no need for 7 pairs each.