Exactly, this depends on the circumstances. E.g. cats tend to bury the waste so it doesn’t smell, while other territorial animals piss on everything in sight to mark the land. Nevertheless, when an animal is jumped by another, they often drop deuces all over while hitting the road dramatically. There’s a recent-ish clip on Reddit of two hippos fighting, wherein one of them decides to do the helicopter distribution of dung in the middle of the altercation.