edit: I thought you said didn't. My point is that wages are correlated with inflation, and increasing wages does not increase quality of life.
That's a whopper of a statement. What are you basing that on? As someone whose increased wages allowed for home ownership and breathing room for emergencies, this seems intuitively incorrect, but we don't have to rely on intuition: there are solid studies that found the same, as well as pointing out the broader societal impacts of wealth inequality related to low wages, e.g. https://healtheconomicsreview.biomedcentral.com/articles/10....
edit: should be standard of living instead of quality of life.
When you are making minimum wage, every dollar counts in relieving the stress of simply trying to exist.