Allow me to rephrase.
Money illusion is when people ignore the effects of inflation, and think of a dollar purely in nominal terms. They think back to when a slice of pizza cost 75 cents, see that it now costs $2.50, and conclude that "a dollar isn't worth anything anymore." They ignore how during that same time period, their wages increased from $7.50/hour to $25/hour.
AFAIK the average American has a significantly higher standard of living than in 1960. Part of this is technological advances (cable TV, cell phones, consumer-grade computers etc did not exist then), some is due to American preferences (we want bigger houses and fancier cars), some is due to higher productivity, some is due to significantly increased access to credit.
It is possible that a particular individual who was 15 years old in 1967, and is 65 today, will have certain higher costs (medical, mortgage, car payments etc) and lower income (as they may have just retired). They would have gone through rampant inflation in the 1970s. There are also social changes which have affected some people more than others, e.g. in 1960 it was relatively easy for a high school graduate to find and hold a manufacturing job that paid middle-class wages, and that is increasingly difficult today.
However, on the whole, FMW's claims are incorrect. Purchasing power of the average American hasn't deteriorated significantly, except for some small wage losses.