I would also like to ask, how could such conclusions, were they actually true, be put to use by society?

I haven't been able to identify any way to use such information which I wouldn't consider deeply immoral. But I have unusual views here.

It would help us avoid expensive mistakes to correct non-problems. Imagine a world in which height is as politically charged as race. Every year, short people rail against the overrepresentation of the tall people in sports, in politics, in film, etc. And every year, the tall people talk about how some of their best friends are short, they themselves aren't prejudiced, they understand there's a horrible legacy of discrimination, perhaps short-person-related affirmative action programs are necessary.

But then some annoying researcher points out that of course tall people are better at basketball, because they are closer to the basket (among other things). And that within ethnic groups, height correlates with intelligence because of a confouding variable: malnutrition is known to reduce cognitive ability and height, and cognitive ability correlates very well with income.

So it basically transforms something from a political problem to a scientific fact. There is no longer anything to rectify, because everything is as it should be -- people have characteristics that make them better or worse at various tasks, and that's just the way things are. A short person who tries hard can succeed at tall-person fields, but not to the extent that they could if they were tall. A tall person can live a long time if they try hard to be healthy, but not as long as they could if they were short.

"...how could such conclusions, were they actually true, be put to use by society?"

If there's a cause, someone could try to find out what it is and it might be useful. Or not. But knowledge isn't moral or inmoral, it's knowledge. Wishful ignorance is wrong for my sense of morality.