SS would take being drunk around your kids and opening admitting you have an alcohol problem much much more seriously than oops my kid has an owie.
Parenting under the influence is frowned upon (and for good reason, Jotato, for good reason) and is generally a trait seen in low(er) income families as parents use alcohol and/or other illicit substances to escape the realities of their situation whether it's the kids, jobs, partner or just overall lack of motivation.
Kids can be taken away from you if you refuse to change your habits as being drunk can have severe consequences. The kids basically have no supervision in the early hours of the night when Anna is asleep and Jotato is drunk. If anything serious were to happen and he isn't in a state of mind to address it, it could turn out to be fatal. He can't even drive anyone to the hospital or make a coherent phone call.
Anna sure as hell doesn't seem like the kind of person to be level-headed and lead the way when her husband is drunk off his arse and has been watching crappy thrillers.
I understand he's going to deflect like he did with the cold showers - saying it's not as bad as it sounds, but a bottle is too much. One glass with dinner won't do much harm, but an entire bottle along with his narcissistic neglectful personality could be a dangerous combination.
There will come a day when he or Anna will inevitably slip up and SS most certainly aren't going to have a "friendly conversation" then.
Thread suggestion: Sacconejoly#52 Wish my kids would take the hint, I cannot be daddy without my drink