Sorry I should have provided citation. These are admitted (not enrolled) stats for the school, including Emory - for the class of 2021.
You Can see at this link that average SAT for 2021 was under 1500:
This is the link I used for 25% - 75%, the section is clearly marked as Admitted students stats, not enrolled. I also know someone in the admissions office and confirmed.
https://apply.emory.edu/discover/fastfacts.php
All of these schools are seeing large increases in SAT score due to the new SAT, the year before the average admitted SAT for Emory was 1434.
I agree with your point that these schools are different and have strengths and weaknesses and that should be paid close attention to. Your breakdown of ED information is really helpful.