You’re missing the ‘if needed’. The idea is not that wages will permanently lag inflation, we can see from the figures that this has not been the case. Workers know what the inflation rate is and what it means when they negotiate wages. It’s that if there is an economic downturn employers can mitigate some of the impact by freezing wages instead of having to sack employees (or as many, anyway). If needed.
This is also not the only reason for targeting inflation at some low but positive level. Another is that you _really_ don’t want persistent deflation, so aiming for modest inflation reduces that risk. Inflation also erodes unproductive savings, encouraging investment, which supports jobs and growth.
I’m not arguing there isn’t increased inequality at all. There is. But it’s not due to the 2% inflation target. It’s mostly down to the high returns on investments.
This is also not the only reason for targeting inflation at some low but positive level. Another is that you _really_ don’t want persistent deflation, so aiming for modest inflation reduces that risk. Inflation also erodes unproductive savings, encouraging investment, which supports jobs and growth.