Earlier quoted context omitted.
No, "total compensation" includes things like health insurance benefits that simultaneously have gotten more expensive in real terms over time, and don't put money in my pocket. If I could go to my landlord and trade them a months' worth of health insurance benefits for rent, then you'd be on to something. If you could find a way to separate out the part of "total compensation" that actually contributes to income, su…
Those benefits are income to you. Not taxable income, but they have a non-zero value. They certainly appear on the balance sheet of your employer and represent an increase in their total payroll costs.
If you want to look at the "value" of, say, an employer's group health insurance plan to me, what you really need to look at is the difference between buying the exact same coverage as an individual versus participating in the group plan. This is not an analysis that can typically be performed, because insurance companies don't want you to be able to compare on price like that. But, assuming you could, if I got, say, a $100 discount per month, and I was going to buy that coverage anyway, then, sure, you'd have a good case for calling that +$100 on my balance sheet.