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

About the numbers from Big Future in post #17:

Brown 1410-1570 - not quite matches adding the 25th section scores and 75th from CDS for class of 2021 (from NCES; has a 705)
Columbia 1450-1580 - can’t figure out where this comes from, but matches a Compass Prep list (at least one other college in that list is definitely wrong; might just be old)
Cornell 1390-1550 - this matches adding the 25th section scores and 75th from CDS for class of 2021 (NCES)
Dartmouth 1430-1560 - this matches adding the 25th section scores and 75th from CDS for class of 2021 (NCES)
Duke 1490-1560 - this matches the class profile admitted for class of 2022
Harvard 1460-1580 - this matches adding the 25th section scores and 75th from CDS for class of 2021 (NCES)
MIT 1490-1570 - this matches adding the 25th section scores and 75th from CDS for class of 2021 (NCES)
Princeton 1430-1570 - this matches adding the 25th section scores and 75th from CDS for class of 2021 (NCES)
UPenn 1420-1560 - this matches adding the 25th section scores and 75th from CDS for class of 2021 (NCES)
Stanford 1420-1570 this matches adding the 25th section scores and 75th from CDS for class of 2022 (Stanford website)
Yale 1420-1590 - this matches adding the 25th section scores and 75th from CDS for class of 2021 (Yale website; curiously, the 25th and 75th section scores from the 2017-18 CDS do not match the NCES data for fall of 2017)