And my point, which you missed, is that this is a confounded argument. "Real wages" are an after-the-fact metric, you can't measure it in immediate data because wage growth and inflation are highly correlated.

And the other point, which you skipped, was that this was a digression anyway from the upthread discussion about whether or not the labor market indicators are "strong" or not. And they are: wages are tracking labor demand and growing at the same time participation is growing. That means the market is operating well (and, FWIW, that typical models would expect wage growth to continue to match inflation, as it generally does in functioning markets).