I agree with @stalecookies, being a pointy kid is usually pretty obvious and isn’t usually in something like student government. It’s most often an unusual talent in sports or music or maybe being gifted in science and math and winning competitions. Academically, in terms of your interest there is little value of saying you like science to the exclusion of everything else. They may ask you what your favorite subject is but they are looking for your reasoning and explanation, they don’t actually care that you like science more than English.
Think of being pointy as something that helps the school and makes it look better. If you can help win a soccer championship, you are pointy. If you can fill a spot in the orchestra that they are lacking, you are pointy. If you like to be involved in student government you are one of many.
Different schools value this differently. Schools that are the largest don’t need to look for pointy kids as much, just from numbers they can usually get an ok team or ensemble. So when I look at kids admitted to PA vs kids admitted to Groton I would say the Groton kids are more pointy and often more quirky and the PA kids are more well rounded, typical smart kid.
Additionally, and I am sorry that you won’t be able to see this at revisit day, there are definitely types at these schools. There is absolutely a difference between the vibe at Groton and the kids they admit and the vibe at Middlesex and the kids they admit. It is hard to tell if you aren’t there for a day or more but it does exist. MOST kids will be fine at either but some kids will fit more at one school or another.