I'm becoming really tired of the term, "hunter gatherer," being certain that things were more complicated than that. If ants can manage which seeds they bring to the surface and plant, so aboriginal humans capable of making stone tools would be entirely capable of manipulating vegetation and animals to some significant degree. Caves would certainly be attractive for multigenerational habitation. One would think people would learn to manipulate plants for tools or food thereabout. Etc. Hell, I have found proto-agricultural plots on our land, and identified their likely purpose of arrangement just from making it possible for the seed to express.
IOW anthropology, botany, and archaeology need to work together on an experimental basis more than I have seen. The process might develop new means of identifying pre-historic land use patterns.
I agree, it’s a false division, or maybe more accurately an archaic and outdated one. Hunting and gathering is just part of being opportunistic feeders, and “Opportunistic Feeder” would be a great brand name for my next refrigerator. Toolmaking probably went from being for hunting or processing to being for self-defense really rapidly, and agriculture / gardening is probably so old we’ll never find out just how old it is.