This theory seems very good, and I have to admit that it seems pluasable that Aspies could be descended from Neanderthals. Many of the things said about Neanderthals seems to relate to us, such as Aspies tending to climb and jump (I crawl / climb the staircase at home, and sometimes I do get the urge to jump about a bit), being more into cold weather (Neanderthals adapted for colder climates), and the fact that (I at least) am not really very aggressive, unlike other men. It makes a good point that many autistics feel like they're the wrong gender (Girls being tomboys, and Boys being more passive), which the link says is due to Neanderthal groups being female-dominated (unlike NTs, where it's more male dominated).

You really do have to read the whole thing to get it, but I think it makes good sense.