I agree except that “possible dates for human-Neanderthal interbreeding” is theory and not facts. There are conflicting theories as to whether Neanderthal and modern humans were coexistent. More data and DNA information are needed. DNA information could then be examined by statistics to determine if interbreeding actually took place.
Perhaps you are not aware of research over the past decade or so?
First of all, there’s no doubt at all that Neanderthals and biologically modern humans existed at the same times.
Indeed, if we use the usual date given for the first biologically modern humans, 200,000 years ago, then Neanderthals existed for the first 160,000+ years.
Obviously, not together at the same times & places until around 45,000 years ago, for maybe 10,000 years or so.
That’s when events got interesting, and nobody knows for sure what happened, except that when it was all over, Neanderthals were gone, and all non - Africans share up to 4% “Neanderthal DNA”.
So figuring out how & why that happened is a great quest of current research.