Problem with government-run alcohol shops is how they reduce available selection of drinks. I'm an avid whisky drinker (though in moderation of course), and being able to buy rarer bottles from specialist shops adds a lot to the experience. It also helps small producers since they don't have to negotiate with a behemoth of a stockist (imagine if the only way to sell whisky would be to negotiate a deal with the state to stock the entire UK's alcohol shops). The ABV limit has also caused trouble in the beer industry where types of beers that require higher ABV aren't produced.

I think the minimum pricing law of Scotland is the way to go when regulating alcohol. When I was living there, the system seemed to work well and incentivised buying higher quality drinks as well. I guess the problem is populist politicians who could easily brand it as limiting poor people's drinking, instead of posh ones.