@glyph
I hear you.
My favourite (perhaps less jarring?) example is when a court declares they have found someone guilty, and that their threshold of guilt is "on balance of odds".
I look at the lawyers and the witnesses and realise that none of them has studied actuarial or probability mathematics. I wouldn't even trust them to understand a bet on the horses. For a scientist to watch them is like observing a cargo cult. Worse, I am sure, is for a scientist to find themselves on the receiving end of such a court.
I would offer the meagre consolation that you can see the feedback loops that drive them to behave so, where they think themselves to have free will.