This puzzles me. Having attended / lectures at several top 10 schools I can’t see a different student type on average between them. Sure, maybe some schools have more orientation towards sports or sciences, etc. but fundamentally the students are smart and motivated. In my experience schools want depth not breadth and passion And diversity so there is no homogeneous student type at any school.
Please explain what factors of fit are important to any top 10 school that aren’t important to the others and how schools would recognize that from the application.
I do agree that the student wanting to attend and feeling the right vibe is important but even that is relatively superficial based on a day’s scripted visit. I chose my HYPS undergrad having never even visited!