I think it's the opposite. Believing that something special exists in brains that can't in be replicated in a (sufficiently complex) computer is spirituality, a belief in the supernatural.
Rather, confusing models (including computational ones) for the things they model is the very definition of magical thinking. Matter matters. There is nothing specific about "brains" that prevents them from "existing" digitally. The fact is that nothing material can "exist" in a computational substrate. A computer can only simulate: replicate the structure of material things in a useful to us manner using symbols.
