I think religious belief makes it less likely that all human belief-forming and decision-making are based on statistically sound principles, yes.

But the actual point I was making in the message you replied to is much weaker than this. I was arguing that just because we can spin a narrative that says a decision-making process was based on a statistical process doesn't mean that our narrative is true. Just because you can tell a story doesn't mean the story reflects reality. We need some objective way of determining which of several competing narratives is actually true.