We probably agree on this. But there are definitely ideas which work, and those ideas need to be uncovered. Often you can find them through analytical thinking. Asking and answering, that's the analytical thinking process. Do it enough and you will likely come up with something useful.
Many people call it intuition.
I'm going to call it unconscious thinking. What I mean by this cumbersome phrase is that this kind of ideation is based on removing the linear, rational, questioning, conscious thinker from the equation, and tapping into the results when they come. Everybody has their favorite way. Several people, responding to my last article's caveat that I was not referring to the thinking that goes on in the shower, wrote that their best ideas occur in the shower. For others, unconscious thinking occurs while driving their car.