For me the term is fitting. I spent a number of years in recovery either with AA meetings or inpatient programs. Some people can quit without help, which IMO means they perhaps had a drinking problem/realized alcohol was an issue for them, but were not full on alcoholics.
For me, I definitely was a alcoholic. If I had one drink then I didn't stop until I emptied the fifth, and then I had to have more on hand or I wouldn't feel I had enough. I was a textbook alcoholic for sure. Only difference today is I consider myself a recovering alcoholic because for people like me, I could be right back where I was if I were to only have that first drink. So even 20 yrs down the road I will still call myself a recovering alcoholic, just because my problem with it will never be "cured". The day I feel I am no longer an alcoholic is the day I feel I am stepping back towards that lifestyle again which I do not want to happen.