Yeah that's true and it would reduce the cost of living for those who do make it into the program, but the affordable housing program is already overloaded as it is and the winners and losers are chosen by a lottery system. Even if the AMI requirement is lowered it would just put more stress on the affordable housing program without actually creating any additional housing, and as it stands the program is already being forced to turn people away. Unless more housing is built the program will further solidify itself as a poverty trap since increasing your income would drop you off a welfare cliff, and the market prices will only keep rising until more units are built.