The paper only mentions total compensation as: "total compensation (base wages plus bonuses)"
Total compensation includes stock options, stock grants, health insurance premiums, 401k contributions, so-called "employer social security contributions", retirement contributions, time off with pay, etc. Total compensation averages 146% of wages.
This is not a triviality.
The paper doesn't cover this, and so the conclusions don't have merit.
There are also some fairly interesting trends in labor productivity.
Labor Productivity for Manufacturing: Household and Institutional Furniture and Kitchen Cabinet Manufacturing: (has flattened out in the last decade-ish)
https://fred.stlouisfed.org/series/IPUEN3371L000000000
Construction has been DOWN for decades (and is 7 percent of the labor force).
https://www.richmondfed.org/publications/research/economic_b...
Food Manufacturing is in decline as well:
Nothing you include in "total compensation" is guaranteed by employment.
Health insurance premium subsidies being the big one. 90% of US workers probably are not getting any or any increase in the other ones.
Riding the boom times doesn't have merit either.