It's a habit, with factors like motivation and environment always being at play.
For everyone, those things look different, even between the rock stars your mentioned.
First you have to conquer the automatic impulse to do a habit, then you have to conquer the rational of choosing to stay quit on the habit.
Both parts are difficult for different reasons. Unfortunately step 1 doesn't really prepare you all that much for step 2. So your month shows you're capable of overcoming the automatic behaviour for sure, but now you need to think about what you would do after that month. How you want to experience life and deal with its challenges without alcohol.