The following is a response to only your first paragraph:
Huh? If the distributions of bone densities among “people you would visually identify as ‘race X’ ” and “people you would visually identify as ‘race Y’ ” differ, then knowing that an individual would be someone you would visually identify as ‘race X’, gives you some amount of statistical information about their bone density.
I guess you just mean that you can’t make any high-confidence statements that are substantially different than if you didn’t have that information?
Small note on second paragraph: I don’t think the racial categories in question are even half-biblical? I mean, I know in the Old Testament there are lots of things referring to e.g. edomites, or Amalekites, etc. , but I don’t think these are really like, “races”, and I can’t think of anything that really supports the idea of a fixed set of racial categories. But perhaps I’m forgetting/missing something.