IQ has a map/territory problem as well. The theory is that you have some underlying IQ, and the test is a tool to determine what your IQ is. It is well established that practice can improve your score on an IQ test. However, that does not imply an improvement in your underlying IQ.
Close. Improving your score on an IQ test does improve your IQ. Your IQ is literally that score. What it does not improve is g, your underlying general intelligence.