the inuit and ojibwei(?) have traditional stories about where caribou go in winter. they follow trails that go underground. it's possible that those stories were once more widspread among nomads. The climate was a lot colder when those paintings were made and large herbivours would probably take off for better pasture. Painting pictures of them in caves could be a form of corralling to keep them safe for winter, or at least it's an association. maybe they went there (to dreamland) to pray for abundant herds and the paintings were like alter icons.
That formula might work for social herbivores in a productive environment but probably not for carnivores, even social ones. A mountain lion can need 100+ sq miles and they only weigh 80 lbs. Really lush and productive flora could support more prey animals but there's no info on where that might occur, certainly not everywhere.