It's not one of the extremely rare Giffen goods which defy the laws of supply and demand. Most alcoholic drinks have a substitute in drinks with less (or no) alcohol in them, competing on price. Moreover, people's consumption is affected by how much is considered "normal" to drink (one of the early, solid findings of alcohol epidemiology), so there's a positive feedback amplifying small changes to consumption habits from other things.
In countries where the alcohol tax is high enough it reduces alcohol consumption but massively increases sales of sugar and yeast.
Take a look at Canada's consumption numbers and see if the "sin tax" accomplished anything.
We don't have that. But we have other countries and times to compare through, and there really is no question that accessibility affects consumption.