No, if he gets deployed a lot of young wives leave apartments and go home BHA continues. If he lives in housing his BHA pays his rent and utilities. if your daughter lives in housing it is easier for her to remain in her home vice going home home during deployments. We see lots of young couples use orders to get out of apartment leases, wife goes home during deployment. Some how many of them fail to save money for an apartment, deposits etc.when the service members return.
The housing portion of BHA is what is used to pay for the base housing so yes in effect he never actually gets a housing allowance. As long as he is assigned housing, he does not get a housing allowance in his pay check. Every base differs, we have a plethora of housing so anyone needing a place to live can get a house.