Thank you for this interesting post!
You see a strong representation of colleges on the top end whose main emphasis is STEM (Caltech, MIT, and Olin, for instance). One theory I have is that these schools have a much higher proportion of students in impacted majors (as many STEM majors are impacted), so the top end of applicants will tend to have pretty high scores, probably arguably above the point where score differences are very meaningful (760 vs 800 etc), so then the admission committees have to turn to other measures to distinguish amongst the students. But there is probably some baseline level that they want to see the students score above. So I think there may be some schools that care about higher scores at every level (for instance, to raise their averages because they want to climb the ranks?), versus others that rank high in part because of structural reasons.
That said, there are some STEM-focused schools on the list with the largest differences (Rose-Hulman, Cooper).