Yeah, that sounds more like a drunk, and not an alcoholic, but the only way to tell the difference, honestly, is to look at what happens when the alcohol goes away.
For those that don't know what we're discussing, it breaks down like this: a drunk may be drunk quite a bit of the time, but if it comes to it, he can just stop. For an alcoholic, they really can't, mentally they are simply completely hooked, and their bodies end up going through actual withdrawal if they do stop.