It's funny to me that they seem to be implying that autistic people use language/concepts to pass these sorts of tasks instead of innate theory of mind (theory of mind tasks, afterlife beliefs) and then on the other hand, they cite philosophers who believe that EVERYONE is influenced by language/concepts to develop these sorts of abilities.
I specialized in cognitive science and philosophy in undergrad and I'm familiar with Jesse Bering's work (the guy they're responding to). I think I might go searching for some of their later work (this was in 2006) to make sure they haven't corrected themselves since then, and if they haven't, I'll write up a rebuttal and shoot them an e-mail. I'll keep you guys updated!