I’m glad you found solace in the quote. I lost my special boy in October of 2007. Such a beautiful, sweet, loving and smart being could not possibly have been born to futility. God is just, and He loves all His Creatures. They, too, have a reward beyond this season of vanity. They did not sin, but they were subjected to the consequences of it because of us, according to the Apostle Paul in Romans.
A body buried in death is merely a seed, to blossom in the glory to come, according to Corinthians, with different kinds of bodies having different kinds of glory, in a physical body and a spiritual body. This is applied to human beings, birds, fish and beasts, to all with the breath of life.
It’s there, in the Bible, just seldom taught. Give it a look. There’s more than just hope for your sweet dog, and there’s hope for us all, available for the asking.
I agree, the other creatures never fell ...only man and the earth is cursed.. that is why I have a certain hope :)