So What's the Deal with the Neanderthal, Their Demise? - 4

This a carry-over topic from a previous installment: So What's the Deal with the Neanderthal, Their Demise? - 3

To recap:

Were contemporary modern humans, you know—the species that lives on to this day, responsible? Or did
everything else that was working fine for the Neanderthals' survival,
prior to the arrival of the so-called anatomically modern humans, came
to a halt for some reason or