I understand that "we" are descended from one group and "they" are another lineage, but it sounds so weird to me, and oddly personal, to use "we" so much in this context. It happened a long time ago firstly, so none of us can claim to be involved. And as far as I know, the Neanderthals didn't die out due to being bad people, so there is no need to shove it in their faces, metaphorically speaking, that "we" are that much better. One species surviving and another not might as well be a lucky coincidence.