Is SAT 25th or 75th percentile a better indicator of how much schools care about the SAT (or ACT)?

Applying to College
18

This question captured my interest. From BigFuture, e.g. https://bigfuture.collegeboard.org/college-university-search/cornell-university

SAT middle 50s
Brown 1410-1570
Columbia 1450-1580
Cornell 1390-1550
Dartmouth 1430-1560
Duke 1490-1560
Harvard 1460-1580
MIT 1490-1570
Princeton 1430-1570
UPenn 1420-1560
Stanford 1420-1570
Yale 1420-1590

Test scores importance
Brown - Very Important
Columbia - Very Important
Cornell - Very Important
Dartmouth - Very Important
Duke - Very Important
Harvard - Considered
MIT - Important
Princeton - Very Important
UPenn - Very Important
Stanford - Very Important
Yale - Very Important

Only MIT had “Character/Personal Qualities” ranked higher than test scores importance. (Harvard had everything “Considered”.) All top schools had the SAT Math 75 percentile at either 790 or 800. Cornell had the lowest overall 25 (1390) and 75 percentiles (1550) . Duke and MIT tied for highest 25 percentiles (1490) and Yale had the highest 75 percentile (1590).