I argue the opposite and I think the difference is that you believe religious belief can be demarcated in a persons mind where I think it influences all decision making.
I.e. Does my boss make decisions on P&L because they are good at business or because they prayed on it?
You and my boss might look at all the same information and arrive at the same conclusion except how can you be sure that the path my boss took reflects your own logic and not prayer?
If the information about your world passes through a filter to determine if it fits your world view or not it’s possible to serendipitously make the logical decision but it doesn’t mean fundamentally you accept the logic of the situation at hand.
If your foundational understanding of what constitutes possibility, I.e. that when Jesus died he was transported to north America for 3 days prior to being resurrected I have trouble believing this doesn’t influence your day to day decisions.