If you stare at a wall all day because you have nothing to do, are you addicted to staring at the wall, or do you just have nothing to do?
If someone stops drinking for a long enough period, with no urge to return to drinking, then yes, they aren't an alcoholic. You just made up a silly 12 hour window so you could beat a straw man to death.
If an alcoholic has been clean for decades, he is still an alcoholic, because the second he takes alcohol again, his brain switches back to addiction mode. That's the thing with addictions, they even destroy the good feeling you initially had about with drug.
When you are staring at a wall all day, you can probably think of a lot of other things you could do and did. When you stare at a wall all day, and think of nothing and enjoy it, then I would say you have mental problems. The problem isn't that you do something for a long time, the problem is that you can't think of something else or can't control you to do something else, even if you want.
That's literally what an addiction is.