Earlier quoted context omitted.
[I've made about four edits to this post and still can't do it justice - should have drafted it more thoroughly. Others have made my points much more effectively and this is just a distraction, so I'll remove it]
Imagine for a second that, controlling for all environmental factors, the average IQ of men was shown to be 3 points lower than women. (Totally hypothetical.) Additionally, women in this world outperform men at chess by a noticeable margin. There is a valid argument in this case to be made about how the reason women are better than men at chess is partly biological, and that chess diversity programs should be cogniza…
But there isn't. There is an argument that women are, on average, better than men at chess. But that argument does not apply to an individual person. Why would you use male vs female average IQ when judging who becomes a member of the chess team? Why not assess the candidates IQ? Or, maybe have them play chess and see how well they do?
There is a persistent theory that diversity programmes exist to promote underqualified minorities over qualified white people. That's not true. The aim of the programmes is to find people who have been disadvantaged by this exact kind of (often subconscious) "well when you average group X out over the entire country ignoring educational achievement and employment history, typically they're not so good" thinking and have lost out on past opportunities.
You're right, I was using some excessive shorthand in my original post and will amend it - the assumptions are not genetic, they are social. But the point still stands, why be making these assumptions at all?