It doesn't make a d*mn bit of difference. Access does not constitute increase abuse. If you're going to abuse something, you'll always find a way.
Having said that, where I live, Ontario, Canada, has the most repressive liquor laws I have ever seen. I'm 55, and when I first became of age to drink at 19, you couldn't buy anything to drink on a Sunday. Then, you had to buy an equal dollar amount of food to alcohol on a restaurant bill to be able to have a drink on a Sunday. That led to a lot of overpriced sandwhiches, let me tell you. When you went to the provincially run liquor store (LCBO - Liquor Control Board of Ontario), you went to a counter, filled our a form, gave to an always surly guy behind the counter, who then brought you your bottle in a brown paper bag. You then had to take it directly to the trunk of your car....not the back seat, the trunk, so you couldn't take a pull on the bottle on the way home.
Things are better now...but you still can only buy at the LCBO...no corner variety stores allowed to sell alcohol...beer only a the "Beer Store" (owned by the big breweries)...although, you can buy overpriced wine at a wine kiosk at the grocery store.