I’m no greek expert, but since the New testament was originally written in Greek, here we go.
There are two key words in these verses to look at. Creature or Creation uses the word “ktisis” and can mean either creation or creature. More modern translations of scripture refer to man in this context.
In verse 21, the greek word for Corruption is “Phthora” and in all eight times it appears in scripture, it refers to humans.
I’ll be totally honest, I don’t know Greek. I looked it up here: http://www.godandscience.org/youngearth/romans8.html. Provided that this scholar is correct, it leaves no other verdict than that the scripture you referenced is talking about people and not animals. Sorry
Does this describe man? No, it does not. It describes the rest of Creation.