Well, we’re made of dirt according to Christianity and Judaism, more specifically Adama, red clay.
Yes, the story does not seem to rule out the presence of all manner of beings in what elsewhere is called the New Jerusalem, all busily praising God in their redeemed state. Perhaps one would hear a celestial chorus of woofs, meows, fish splashing, hallelujahs and lots of “harping on harps.”
Even Jesus Christ, who if nothing else is God walking and talking, gave a nod to the special meaning of pets when he challenged the Gentile woman that he should not be giving the children’s food to the “dogs” (that was a common metaphor among Jews for the Gentile peoples, to liken them to feral canines) and the woman, obviously inspired beyond normal, replied that even the puppies under the table eat the crumbs! Jesus Christ praised the woman’s faith as being better than that shown by Israel and granted her request. (I hope I haven’t inadvertently mixed up two gospel accounts.)