That’s why it’s only meaningful to draw these conclusions once you control for cultural variation.
No one has shown that they drew conclusions based on race: they drew conclusions based on written words, which correlated with race. The claim is that this demonstrates racial discrimination.
However, an equally valid explanation is culture as a confounding variable correlated with both race and hiring, and which is the actual causative factor.
My point is that no one has shown this is hiring based on race, because the only things being judged are cultural artifacts. It’s merely presumed that anything correlated with race is inherently racist, when that’s not true.
No one has even remotely tried to address that, including yourself, preferring to merely assume it’s racism or special pleading like “well, there is some correlation — but without doing the math, I know that can’t be it!”
(All these same point apply to sexism.)