Another factor to consider here is a rise (if any) in engineering undergraduate degrees. I know that grad engineering degrees to law degrees seems like more of an apples-to-apples comparison, but there's a big difference. A history major who goes to law school goes from not lawyer to lawyer (assuming he or she passes the bar). Engineering graduate students, on the other hand, almost always have a background in their…
Actually, engineering students statistically score highest on the LSAT out of any undergraduate degree
Somewhat relatedly, it's been well known that for CS PhD admissions, at least with native English speakers, the GRE Verbal is a better predictor of PhD performance than the GRE Math. It's unclear how much of this is top-end compression in math though (almost everyone going to a top CS PhD school gets a 790 or 800 on the GRE Math, so there's no signal left there, whereas verbal has a higher spread. A 720 on the verbal is 98th percentile).[2]
[1] I know this because in 2009 as a college senior, I took some practice LSAT tests, and found the logic section endlessly delightful and challenging in a timed setting - I was this close to applying to law schools before I changed my mind and did a CS PhD instead. I know it sounds like a weird choice, but 2009 was a weird soul-searching year for me for various personal reasons.
[2] All of this has changed since 2011 when the GRE scoring system changed to a 130-170 scale from the old 200-800 scale, along with changes to the test itself. All of my points are probably obsolete.