Your example was also fatally flawed because it buys into the notion that white collar work is not working class.

White collar laborers are labor; they are not capital.

I make a couple hundred thousand dollars per year. I have far more in common with a nurse or a teacher or a store clerk than I do with somebody who was born with $10MM in a trust fund, and who makes as much as I do (by selling my full-time labor) just by buying and holding VTI.

Blue collar work means physical labour typically. White collar means office work and traditionally office work has been done by the middle class and the elite.

I will concede that In the last decade or those definition probably don't make any sense.

So maybe I should have said "traditional working class" to make the distinction.