And once you have that measure, you are now subject to Goodhart's law [1]. There is no escape.
So, your university gives points for applicants who have extracurricular activities? Here comes someone that joined 15 clubs. Oh, do you want them to be leaders in their activity? Here comes someone who is the president of six clubs, and founded two more. Oh, do you want them academically accomplished instead? Here comes someone who in high school published six scientific papers (please don't look too hard at which journals they were in). No, wait, we don't like what that's encouraging, let's just look at standardized test scores... and here come the perfect scores.
Applicants will make themselves one dimensional. They'll tune to whatever dimension you're measuring on, no matter what you try to do to the basis vector of that dimension. And they'll beat out anyone who is just being normal, or even more cynically, just being honest about their actual activities.