My comment was mostly based off DNA left by interbreeding between Neanderthal and Sapiens. Modern humans do carry a small but significant share of DNA inherited from our Neanderthal ancestors [1]. My point was that Genes left by these ancestors were heavily filtered by natural selection for brain-related regions.
That being said, loking it up again now, it seems that more recent publications draw more nuanced conclusions [2]. So maybe my knowledge is out of date, and it's time to pick up the books again :)