I think the causality is flipped here, when you carefully consider a problem the result is often very clean and clear code. The clarity in your thinking is reflected in the code and it's structure.

But writing clean and clear code in the hopes that it's good aesthetics will result in correctness would be cargo culting. (Writing clean code is still worthwhile of course, and clean code + code review is likely to result in better correctness.)

Form follows function, not the other way around.