Shouldn't BAH be authorized for promotion to SGT?

Soldiers know that unless you're married, you're going to be assigned to the barracks, unless of course you're a single parent. I do believe that PVT's through SPC should experience barracks life, the SOP's for barracks rooms and barracks maintenance. Part of coming up through the ranks is experiencing the "rough" days as a lower enlisted, which then makes you appreciate and respect the NCO rank even more, feeling accomplished that you did your time, but how does it help when the SGT rank is in some cases, in the same category (E1-E5)? In my opinion, it sets the image that SSG is the real stepping stone for Soldiers to separate themselves, SGT's required to be in the barracks because they're not authorized BAH. I feel that once you make SGT, you should be authorized BAH, that should be a privilege set for becoming an NCO.