A question I have is, how is it known for certain that agriculture
originated in the Neolithic? Could it not have originated earlier,
and *H2erH3- along with it? Of course, if the root were indeed
borrowed from Semitic, one could ask also whether agriculture
originated earlier than the Neolithic in the Middle East.
When I took Anthro --years ago-- Neolithic was synonymous with early agriculture. The idea was that the Neolithic tool set reflected sedentary life. So if that meaning is still used and viable, then pushing bakc the frontier of agriculture means pushing back the Neolithic.
But that was the thinking --or at least a thought, years ago