Your husband sounds very much like how I was. At the end of the day, along with various other reasons, I knew I truly had a problem with alcohol when I would obsessively think about it all hours of the day. It was the single biggest thing in my life and dominated my thoughts.
When that happens, you have to accept you have a problem. It's good your husband has confided in you that he spends so much time obsessing about alcohol. There's no doubt he's an alcoholic. Suggest begets back to AA. He needs to accept that it's impossible for an alcoholic to control and moderate drinking. Sooner or later you end up back in the same terrible situation.