Was Jesus Neanderthal by 1 to 4 per cent?

[dtango]

Uncontaminated? How do you know what the linear ancesters of African HS bred with?

By approximately 100,000 years BP in Africa and Asia there were only Homo sapiens sapiens. Whoever the Sub-Saharan population bred with, it was by necessity another Homo sapiens sapiens population.
Neanderthals lived only in Europe and the Middle East (the Middle East Neanderthals were not as robust as the European ones).

Based on what do you arbitrarily define one particular intermediate state of a continuously admixing gene pool to the " pure" state?

There was no “continuously admixing gene pool” of Hss and Neanderthals. I repeat that the gene flow went one way only.

There is no such thing as purity in any gene pool, human or otherwise, gene pool is made solely of contamination, nothing else.

There was the Hss gene pool and there was the Neanderthal gene pool. Now the Hss gene pool contains 1 to 4% of the contents of the Neanderthal gene pool which is dead but yet pure and clean with no Hss genes in it.

And as to rape fantasy, since when is contemporay myth fantasy a guide to biological reality several tens of thousands of years ago?

You were taught that myths are fantasies, I was taught that myths are memories. Time will tell whose tutors were the wise ones.