This change would have two very obvious benefits almost immediately:

It would rid the confusion from the stupid rules that allow roommates living together to both get full single rate while married couples get different amounts.

It would also keep entire towns/cities from manipulating the real estate market based on known BAH rates.

Military members need to quit bitching about all the sacrifices we make (or have made) while living in a 3500 sq ft house with 3 cars on a middle management salary.