As someone who suffered from deep depression, but never alcoholism - the way alcoholism is described by alcoholics always rings true with how I experience (and hear described by others) depression. I am no longer suffering from depression actively; the symptoms of it are essentially gone. But there's life events, certain situations, certain moments of deeper vulnerability, that feel like I might slip back into it.
Surprisingly enough, although there seem to be parallels with how people experience 'life after' both things, I find it curious that alcoholics I talk to often use the "caged animal" metaphor, whereas depressives tend to describe it more as walking "a tight rope" or "at the edge of an abyss" metaphor.