When prices rise and wages don't keep pace, individual solvency forces substitution of inferior goods. CPI's methodology then updates the basket to reflect the forced substitution and pretend it was voluntary. You think you are looking at rising real wages, but due to the basket methodology you are actually looking at the individual solvency constraint in a mirror. The economy could reduce people to eating bug burgers in homeless encampments and that line would still go up through the entire process.

Repeat the exercise using a real deflator and the results are different. Ideally, this would mean constructing a basket of things you (or the people in question) want to buy. In practice, nobody has time for that so people just use an asset with a reputation for holding value (gold) or a proxy for their most important aspiration (housing). These both have problems, but the problems are not nearly as bad as the circular logic in the CPI.