This is nothing. At my previous company drinking in uniform on or off duty was strictly a firing offense and their official definition of in uniform was wearing any part of it. On top of that, you weren't allowed to ever be at the bar in uniform for any reason even to just pay for food. And we don't have a random alcohol/drug testing here... yet. That would be interesting here to say the least.
But here's the obvious: If you feel the need or insist on drinking alcohol in uniform (on duty or not), you are an alcoholic.