Coaching and studying improves SAT scores. People learn the type of questions they do poorly on and can study to improve. The SAT is a test you can study for.
If students learn the vocabulary and practice the math to do better on the test, at some point it just becomes the Key and Peele Heist sketch: "That's called a job!"
There's probably another 20 points that can be picked up by learning to read the questions very carefully -- so that you don't race to show how quickly you can spin-up an off-task answer that precisely matches the wrong question. Getting that right also "is not an inherently bad thing."
The verbal section is a bit more of a swamp, and there might be a larger element of gamesmanship there. But for schools like MIT, where math aptitude is the main event, I think keeping a math-focused role for the SAT can help a lot.
It identifies not just the elite-school wizards with lots of AP and math SAT 800s -- but also the teens from humbler public schools that didn't have an AP track, but whose 790s on the (pre-calc focused) math SATs speak to their ability to play at a higher level.
Apropos of analogies, I think the test-takers got rid of those because they can be ridiculously skewed to particular (affluent) cultures. For some people, it's obvious if yacht-to-dingy is akin to symphony-to-quartet. For people who grew up with less money, it is a total WTF moment.
It does miss something: in specific ethnic enclaves SAT coaching is much more effective, perhaps because of a culture of out-of-school schoolwork and teaching beyond SAT prep. Those enclaves aren't particularly wealthy either (if I recall correctly it was a Korean enclave). Even then we're talking 70 points -- not nothing, but also not a radical transformation.
That would depend on the baseline score. For instance, if it was a 1510 baseline and then went up +70, then it would be useful.