The country where I grew up and where my dad is rom arguably has more punitive laws surrounding alcohol, yet alcohol dependency and misuse is roughly the same if not moreso than here.
An alcoholic will just stock up in advance regardless of what restrictions apply unless they ban it altogether, in which case they'll probably resort to moonshine or the black market.
Last Sunday morning I was doing an early shop and buying some 0% beers for making beer batter (my boyfriend is an avid teetotal and refuses to even eat beer batter if it was made with alcohol).
I picked up some 0.0% Heineken which were outside of the fenced off area in the supermarket so I assumed it was OK to purchase before 12:30 since it contains <0.0% alcohol (probably less than orange juice) and it was outside of the fenced off area, but I was refused the sale.
Does alcohol off sale rules actually work?
Even though my country (Sweden) has more punitive rules and restrictions for beer above (if I remember correctly, above 3%) must be purchased from the Systembolaget. There are no specific rules concerning alcohol below this and low or no alcohol beer can be purchased 24 hours a day from any supermarket willing to sell it.
Even Saudi Arabia has 0% beers.