No it cannot possibly be true. Neanderthal man is one of the pillars of evolutionary theory. Therefore anything that contradicts the theory is, as an article of faith, false.
No it isn't. But just for laughs, feel free to explain in your own words exactly how you think it is, and why a minor change in the geographic range of Neanderthals would somehow undermine evolutionary theory.
Therefore anything that contradicts the theory is, as an article of faith, false.
You must be thinking of the creatinionists -- evolutionary science follows the evidence where it leads, and if necessary adjusts the theory as indicated by the new discoveries.