I think the "alcoholic" label is a double-edged sword. At first, calling myself that helped break my denial around problems alcohol was causing me. But after I'd been sober awhile, I ruminated over the fact that I don't fit the textbook definition (not to mention, there's no single clear and universally accepted definition).
It got me into debating with myself -- "either I'm an alcoholic and I can't drink, or I'm not an alcoholic and I can start drinking again".
Fortunately I eventually realized that was a false dichotomy. Now I am clear that I choose not to drink, and it makes no difference if I'm an "alcoholic" or not.