LOLOL! Typical logic.
I don't see this as an issue of logic so much as possibly forced etymology. The word "satyr" appears to have mythological implications in most cases. A good study of the Hebrew word might yield something with a more firm basis in reality, though there are certain Hebrew words that have never been adequately translated into English and remain somewhat mysterious, the word "leviathan" being a case in point.
Be that as it may, the general composition of the geologic record easily allows for a global deluge in a past age.
European Kangaroos