The point is others tend to rely more on intuitive structures that are everyday. Crystallised intuition about a specific domain doesn't count because of course everyone who is a specialist is going to have their own local knowledge. Calling it domain intuition might make more sense.
What kind of intuition do they rely so much on to call them intuitionists that is everyday in nature rather particular to their domain, but that programmers don't also rely on? Are we talking "everyday" like "I need to buy groceries" type of intuition? I don't understand what you're trying to say.