Yes, except... repression doesn't work. NEVER works.
By cutting legal access, you create a black market. And worst, you create a fetish.
Just see the results of the "War on Drugs", compare U.S. results with (for example) Portugal with de-criminalization of consumption (along with several social measures).
The solution is to never forbid access, just help minimize the excesses. By creating a fetish, they drove teens to alcohol, the same way that where sex-education (the real one) is forbidden teen pregnancies are WAY more common. Not only because they don't have knowledge and access to good sex practices, they also live under a restrictive social code that fetishises sex by condemning it.
I could explain further, but this isn't the place or the time.
Peace