No, you're incorrect.

UX (User Experience) is about designing exactly that - an experience. It's about being extremely detail oriented, mathematical inclination (sifting through metrics, a/b testing data, CTR, bounce rates, etc.), willingness to sit down and focus on one concrete task at a time, sifting through hours of user video seeing how people interact with an application and then finding solutions to make the UX more smooth. Sound familiar to what you wrote about your "programmer"?

Not so different after all it seems.

EDIT: Everyone seems to confuse UI design with UX design. They are very different, and in some cases are different job descriptions.