Although depression is often co-morbid with alcoholism (alcohol is one of the finest CNS depressants known to man, to boot), that vulnerability and humility is an express teaching and goal of AA and most recovery psychology.
You hear a lot of talk about honesty in AA and recovery. At the first pass, that is quit lying to cover up your drinking and misbehavior. At the second pass, it's quit lying about anything so as to avoid guilt. At the third or fourth pass, it's quit lying to yourself and to other people about who you are and what are your character defects, it becomes all about humility and authenticity and the integrity is just along for the ride at that point.
And, as a result of that, you come to understand that you are really no better and no worse than your fellow man, even when in your cups (to think otherwise, even negatively, is just vanity), and that you can be honest, open and accountable and acceptable to yourself and to anyone else who matters. And then, then you have it mostly knocked.