There are alcoholics who have gotten to the end stage and have been warned that they will die if they keep drinking, but cannot see a way out of their addiction. They know they will die, but as long as it's not happening there and then the addiction takes preference.
I lived in the same apartment block as 2 A brothers who had been told they had almost no liver function left, but they kept drinking and died a day apart. In cases like that they chose death over stopping and it was a deliberate choice, even through it was driven by addiction.
OTOH, I stopped drinking in part because of the effect on my health long term, as have many others, so As are capable of choosing life, even if they relapse often.