Once it disappears, that particular Space-Time Moose could appear in the same location a hundred years back, or even a thousand years back because it can freely shuttle between the river of time. However, the Space-Time Moose does not make much contact with man or other demon beasts, they will also not affect the flow of history.
Aside from the Space-Time Moose, the Space-Time demon beasts that were recorded in history are the Space-Time Divine Wolves and the Space-Time Demonic Lions, the natural predators of the Space-Time Moose, as they live by hunting Space-Time Mooses.
Whether it’s the Space-Time Moose, Space-Time Divine Wolf or the Space-Time Demonic Lion, they’re not the kind of creatures that lay eggs.