You might get better answers on the music majors section of this forum.
My kid is a professional musician with both a bachelors and masters in music performance. He did trial lessons with both undergrad potential private teachers, and grad school ones.
The SINGLE most important thing for music majors is the private teacher. There were Schools my kiddo did not apply to after the trial lesson…because he didn’t “click” with that private instructor.
ETA…back in 2003 and 2007, my kid’s auditions were not blind for colleges. They WERE blind for professional positions.