Reminds me of when I was learning to drive. Used to get very creative with my mistakes. Also reminiscent of speaking a foreign language; you may know all the relevant grammar rules, but fail to apply them in real-time.
That said, procedural knowledge remains suspicious because it could hinge on a cheap mental shortcut. A very experienced pedestrian may unconsciously make terrible decisions based on overfitted train data or causally irrelevant variables. Expressing the model "formally" can help expose those terrible decisions (e.g. I feel good about 1980s Fiat Pandas so I cross more confidently when I see them...). Problem is that introspection does not always work well.