Since no one has answered this yet, I want to take a stab -- even though I have no actual knowledge of CCMs criteria or anyone else's for that matter (but I am awake and enjoy offering my two cents worth.)
That said, my guess would be that AUDITION is absolutely crucial in establishing one's level of talent and/or talent potential in the eyes of the adjudicators'. Once that is established I would suspect that with all things being equal talent-wise among two candidates, then other things like type, GPA, resume, references, personal statements, etc., might all play roles.
Now I do know that some schools, UMich, being one of them, eliminate certain applicants right from the start if their GPA does not meet certain minimal criteria. However, I do not know if CCM does this.
But from what I have heard -- just as a predictor of a restaurant's success is LOCATION LOCATION LOCATION -- at a minimum, criteria for being a successful applicant is TALENT, TALENT, TALENT. LOL! Hmmm, one more thought comes to mind. Whitney Houston. What a great resume. But I sure would not place any bets based on her present talent (is that rude of me to say?) My point being that schools are making an investment in the kids they select to attend their schools and train for 4 years and therefore selecting an investment is probably weighed heavily on the TALENT seen at the time -- at the audition.
I hope someone with absolute knowledge weighs in on this.