> No evidence of Neanderthal mitochondrial DNA has been found in modern humans.[30][31][32]
> This suggests that successful Neanderthal admixture happened in pairings with Neanderthal males and modern human females
Of course it also might mean that human males and Neanderthal females can’t produce viable offspring
Consider a serial 'wife-stealing' human culture. One generation of human males leaps upon a small population of Neanderthals, killing the men and stealing the women. The next generation, a new group of half-neanderthal males leaves the colony in search of wives, finds a human group, kills the men, and steals the women. The children of this generation will be 1/4 Neanderthal with no Neanderthal mitochondrial DNA. Imagine that the first colony gets wiped out, as most ancient communities were. There you go.
So either it didn’t happen at all or if it did it happened in on a much smaller scale than the opposite (Neanderthal male and human female)?
Also this scenario is completely unsubstantiated conjecture so hardly worth discussing.