The source you cite goes up to 2006 and related paper was published in 2008. Surely I don't have to point out the many changes that happened in the last 15 years. I could find a few papers past 2008 saying the exact opposite.

I agree total comp is the better metric, but your source doesn't really do anything to dispel skepticism when many current day anecdotes lament the lack of secondary benefits beyond said Pizza Friday. A fair number of Americans are given contracts which skirt the border of having to be paid secondary benefits. At the same time, those are primarily the Americans who are most sensitive to price increases in food, gas, rent, real estate (even if this isn't part of inflation), utilities and more. If there is are decisive sources talking about pre- or even post-COVID, that'd be another story.