> If there were populations with significant relict Neanderthal DNA, you'd be looking at more like the Celt/Gaul populations, and talking at least a thousand years before that -- think the British isles, before the Angles/Saxons moved in. And even that is very... speculative history.
Very speculative indeed, considering there was plenty of movement of people between the British Isles and the continent before the Anglo-Saxons arrived (who themselves had surprisingly little impact on the genetic makeup of the British people [0]). And if there was significant Neanderthal DNA in the British Isles 1500 years ago, it would still be detectable among living generations (it isn't).
As you said, all contemporary populations. So there is nothing to suggest that the British Isles was a Neanderthal genetic time capsule prior to occupation by the Anglo-Saxons, Romans, or Celts. Likely all of these incoming populations were equally as Neanderthal as the existing inhabitants.
Very speculative indeed, considering there was plenty of movement of people between the British Isles and the continent before the Anglo-Saxons arrived (who themselves had surprisingly little impact on the genetic makeup of the British people [0]). And if there was significant Neanderthal DNA in the British Isles 1500 years ago, it would still be detectable among living generations (it isn't).
[0] https://www.nature.com/articles/nature14230