Litluts so very sad reading your post. Unfortunately I too get the sense that you don't want to quit. I'll be honest I find that hard to understand. Have you tried to?
Just because your liver results have returned to normal before doesn't mean they always will, and it's not just your liver, plus liver function tests are not the whole story.
I have to say I don't believe it's possible for alcoholics to drink and control it. And that's not because of what some abstract agency have told me it's what I've observed in those I'm close to who are alcoholics who've tried numerous times, via various agencies and programmes to "cut back" unsuccessfully.
Everything you're saying about AA, how abstinence doesn't work, how more moderate approaches are better (they're not "modern" they've been around for ages), how your liver isn't "really" being damaged, your dr agrees with you (heard that nonsense a LOT the people who claimed it later admitted they were only hearing what they wanted to, and Drs don't like to give definites in case they're sued), how they could quit any time they want they just don't want to...
...is what I heard my loved ones say for DECADES...until they accepted properly they were alcoholics and quit. Not necessarily through AA (it's not for everyone for a variety of reasons) but the ones who succeeded (so far) in quitting did/do abstain completely.
Or until they became SO physically ill it was no longer possible to deny the facts.
Or the addiction killed them.
You mention your shit childhood and depression so it's likely you're self medicating, something I believe is true for many addicts. And another reason why I am so careful with my own intake, I have a similar history, minus suicide attempts. But then the depression needs to be dealt with (and believe me I know that's not easy), and that may help with the psychological side of the alcohol dependency, but the physical dependency I don't believe can be reversed.
That's an excellent point Imogen makes, is your dd being raised by your abusive mother then? Is she safe? And I don't just mean physically.
Re nationality etc I'm scots of Irish descent, as of course are my family members, but they're not the only alcoholics I know and am referring to, they come from a variety of backgrounds.
50/50 male/female too.
You mention the stats on success of certain programmes but even 5% success rate is better than no success at all.
I hope you find a remedy that works for you, that you're able to get well (not just the addiction but everything) and you're able in the future to reconnect healthily with your daughter.