You bring up some good points, close to what I had in mind.
Let's assume you, or any other applicant in limbo, receives a call the week before orientation. The logistics of throwing away all housing/paperwork/etc. to switch to BCM is impractical, but in some cases, can be done. The main concern is the matter of pride, and more specifically, always knowing that you were second, or even third choice for your position in the class.
Let's take the analogy a bit further. You go to purchase a BMW, and bring your paperwork. The dealer reviews it, and through his calculations, decides you cannot purchase the cars on the display floor. Instead, he gives you the option of a clean, refurbished, but used BMW. No one will know it was purchased used but you. With the applicant mentality, you would be be glad to even own a BMW.
Here is my question: would you sell off your new floor-model Lexus, sold to you exclusively by the dealer on the first day it came out, just to buy the used BMW?