In most cases, and in the vast majority of people, "reasoning" functions as follows.
I agree. Just about everybody is like that.
Except me. Of course I’m not that way.
Ummm, how about if "P" has actual knowledge? Why do you assume they are relying on "intuition"?????
Due to 4, unbelievers, who usually of necessity have broken out of this cycle of reasoning in order to change their views, are accused by believers of using exactly that cycle of reasoning. Pure projection, although, occasionally an unbeliever can slip into the same pattern with their new views I suppose.