Are you sure that is a Neanderthal hut? The link doesn't include any of the text about it. It looks more like something I would picture for a Cro Magnon (modern human) hut, just from what I have read. It is known that modern humans in Siberia built shelters incorporating mammoth bones and tusks.
I don't say that Neanderthals couldn't make huts. They probably could. There is strong evidence of huts being built on Mediterranean beaches around (if I recall correctly) 300,000 years ago. That of course is before the age of the Neanderthals. So I don't think that there is much doubt that Neanderthals could build shelters. Finding evidence that they did is tricky. Most of our Neanderthal finds are from rock shelters just because they are protected from the weather that tends to destroy the evidence in open areas.
Bill Gill
