I don't mind using median instead of averages, if it's clearly labelled. The version of the graph you linked first was almost not labelled at all. However, even in their apology / defense they are still not fixing the mixed-up deflators. They merely claim that we should ignore this problem.

However following links in the meek defense leads to https://www.epi.org/productivity-pay-gap/ which has a bit more information than what you first linked. (I might go through it later. But on a first skimming, it's seems to be still pretty light on actual details about the numbers and where they came from.)

> If the fruits of economic growth are not going to workers, where are they going?

> [...] And it went into higher profits (i.e., toward returns to shareholders and other wealth owners).

That's wrong. The capital share of GDP hasn't really budged. (And in this case, distribution doesn't matter for our discussion. Since we only care that it's not going to workers, not which shareholders are getting what.)

However, the share of GDP going to land rent is disturbing. But EPI doesn't want to talk about NIMBYs, I guess.