However you put it, these "characteristics" are the basis for our choice to save the higher over the lower. Or these "characteristics" determine what is the higher and what is the lower.
According to the instructions given to Noah, he was to save two distinct groups. He was to save all the animals that breathe through their nostrils, because those animals have spirit. Nothing about intelligence.
Of those, there were two pair of each animal that was unclean, and seven pair of the 'clean' animals, to make sure there were plenty for the sacrifices which were pleasing to the Lord. Again, nothing about intellect or usefulness to any other being except God.
So if we're going by 'saved,' as the criteria, then animals with souls are more valued than animals without souls (fish, insects, worms), and the 'clean' animals are more valued than the unclean.
It's hard to figure where Man fits into that criteria. I mean, we have nostrils, so we have spirits, but we're not appropriate for sacrifices. Maybe men were the third most valued animals on the ark, added only because we were needed to perform the sacrifices and make the savory smoke that delighted the Lord?
So maybe Humans are great, but pigs are greater, and unblemished oxen are the greatest?