We now know that anatomically modern humans with interfertile with Neanderthals and Denisovans. It seems likely that AMH was interfertile with a very divergent African group whose genes show up today in Bushmen and Pygmies. Almost certainly, Neanderthals and Denisovans were interfertile.
Of course all of this was overwhelmingly likely even before we found genetic evidence. Mammalian lineages with such time-depths of separation are almost always interfertile.
Judging from these facts, all these groups – and more – would be members of the same biological species, in Ernst Mayr’s definition. What can we conclude from this?
Nothing. We know that the reproductive systems of these groups are compatible, but that’s what we started with. Can we conclude that Neanderthal behavior was really more like ours than the archaeological record suggests, because of this biological compatibility? No. Can we conclude that Denisovans had technological capabilities other than those shown in known East Asian artifacts? Nope.