This is big news considering the long debate whether neanderthalensis and modern humans interbred. The popular idea that Neanderthals were somehow less intelligent or less developed than modern humans has no scientific justification whatsoever. Hence, any jokes about Neanderthal DNA are firmly based on ignorance.
It has been suggested that the extinction of the Neanderthals was most likely due to the overwhelming aggressive behaviour of Cro-Magnon. The main support for this idea comes from the fact that the disappearance of the Neanderthals coincides with the migration of modern humans into Europe. Well, I've always found this hypothesis somewhat unlikely. Wiping out an entire species with flintstones and sharpened sticks? A stone age genocide? The Cro-Magnon must have been very thorough indeed! Of course, we might never know for sure, but now that we have established that the two subspecies interbred, this seems even more unlikely. I think it is more probable that the Cro-Magnon brought diseases against which the Neanderthals had no defences.
By the way, I grew up about 50 km away from the Neander valley, and I recall the trips with my parents to the Neanderthal museum located at the site, which I always enjoyed. I guess they have to reprint some of the plaques now, considering the newly gained knowledge.