From a family of alcoholics, including myself at one time, In our family, when you stopped getting hangovers; That was when knew we graduated in Alcoholism. My father used to say, "I never get hangovers anymore!" He died of a liver tumor about 10 years after the last time, I recall, him saying that.
(RIP dad--no one should suffer the pain you went through! I do miss you, but not that angry personality. I know you weren't felling well during that last decade though, and forgive all the mean things you did/said to us.)
I never ever got a hangover and not for the lack of trying (heavy drinking is part of Polish culture). I doubt this particular aspect of drinking is a good test for alcoholism. In particular "still getting hangovers, not alcoholic yet" is a dangerous thought.