Wage growth has more than exceeded CPI: https://www.aei.org/carpe-diem/chart-of-the-day-hourly-wages.... You're thinking of some other measure, such as so-called "productivity growth."
- this data misses people who transitioned to gig work or other types of self-employment, and
- looking at average (mean) can be misleading due to large numbers at the top
BUT... it appears that median household income has also gone up faster than CPI, which means those objections are likely irrelevant.
Now that I think about it, it also tracks hourly earnings, and if a non-insignificant people work hourly, but have been scheduled less hours (due to automation, or reduced need for labor), then their hourly earnings may have gone up, but their take-home pay gone down.
If anyone has any statistics for either of these, that would be very useful.