Back in my day when SAT's were 2400, I heard the swing being a difference of 100 points. Since reverting back to 1600 a 60 point swings sounds proportionately similar to 13 years ago.
Anyways, I think when people mean "gaming the system", they mean test prep classes literally geared towards the SAT and little else. Not practicing calculus to overprepare for the SAT math portion (maybe even using it to validate answers on a lower level), but being told that X is on the test and using older copies of the SAT to practive with. That does start to feel a bit game-y in my eyes. You're not better understanding combinatorial or algebra, you're understanding the pattern that a test has and playing based on that knowledge.
Once those students got to university, while the state school students were used to conducting independent research, having no-one who particularly cared or was going to crack the whip on assignment turn-in ("You're adults - turn your work in or don't. Not my problem."), and such thrived, while many private students found themselves at a loss. I remember many questions about elementary "Well, how would I go about researching that/studying this/doing that" in my first year of university that were along the lines of this theory.
I can imagine a longer test prep class that was really more like general math tutoring could make a bigger difference, a la Bloom's 2-sigma problem.
There was another near-top comment when I posted that pointed out that test prep classes only conferred a 30 point benefit. Likely because it’s just familiarizing students with the test and covering basic testing strategies (like skipping a hard section and coming back to it last). I agree the benefit should ideally be 0 but 30/2400 is not much. That’s what I meant in my post.
Also, I’ve heard that in the past the SAT in particular was much more gameable due to the vocabulary/analogy sections, which incentivized students to study specific known topics or cram vocab terms. I’m not sure if they added it back but they’d been removed by the time I took the exam.