If we put Adam and Eve as early innovators in agriculture, they end up in a time frame from 20,000 years ago (and maybe not even that early) to 6000 years ago.
With a timeframe this recent, Neanderthals dont even have any bearing on the possible Biblical scenarios.
To go back BEFORE THEN…when Neanderthals were around, is to suggest that Adam had ZERO affect on human agricultural history.