It’s not the high ceiling that is the primary reason some tests are less preppable – it’s the content. For example, it’s relatively common for intro STEM type college exams to be graded on a curve rather than on a 90-100% = A, 80-89% = B, … scale. Some intro STEM college exams have such a high ceiling that nobody in a class of hundreds gets a perfect score. I had one class in which it was common for the highest score in a group of hundreds of Stanford students to be ~80%. However, the high ceiling did not mean studying for the class offered little benefit beyond going in blind. . If anything, the reverse was more likely to be true compared to college exams with lower ceilings.
The high ceiling on curved intro STEM classes often occurs due to some combination of limited time and/or applying the text/lecture material in original ways that demonstrate a true understanding beyond rote regurgitation of lectures. Practicing exam questions and knowing the material well becomes increasing important when you need to apply it in original ways like this and need to answer problems quickly. Sure, not everyone will be capable of getting the highest score in the class, but you don’t need to get the highest score in the class. An A might be at 80%, 70%, or even a 50% after the curve.
It’s a similar idea for the SHSAT. The majority of the test content relates to ~7th grade common core material, which is generally well preppable. For example, a student might start by taking a practice exam. If the exam shows that they are missing questions about use of commas and semicolons in sentence structure, then they should review related portions of the 7th grade language arts common core and related past exam questions. If they are missing a different area, then again they should review whatever areas they are weak. It also helps to take multiple practice in exams in recognizing speed issues, and learning what are the most effective sections of the exam to spend time on. Sure, nearly all students will reach some type of limit and not be able to get a perfect score, but you don’t need a perfect score. Most students don’t even need a score even near the high ceilings to get admitted to a good HS. In the study years, a ~75% correct = ~82nd percentile combined score was enough for admission to the 3rd most selective SHSAT admission school (Brooklyn Tech). I expect the vast majority of admitted students to Brooklyn Tech were well below the high section ceilings and certainly well below ~100%. They wouldn’t have been the equivalent of a national math contest winner, but they didn’t need to be scoring at the high ceilings. It’s true that there are some students who would never reach the necessary ~82nd percentile for Brooklyn Tech, but that does not mean that prep offers little benefit.
If the exam content more focused on vocabulary like pre-1995 SAT and less on 7th grade common core material, then my response would be quite different. As I noted earlier, it’s far more difficult to increase your general vocabulary through prep than it is to prep for an exam that emphasizes middle school course content.