It depends on the A...from my experience. My ex AH would drink every day no matter how drunk he'd been the day before. A bloody mary first thing in the morning would help stave off the hangover, he said.
My current AH is a binge drinker: he could go days, sometimes a couple weeks without drinking anything, but when he binged it would last for days, sometimes a week or more of morning to night drinking. Right before he went into treatment this past May, he could last a couple of days on just a beer or two before he would binge again. Binges were whiskey time for him.
I think it depends on each individual how much or how often and I don't think that part is even relevant when you really think about what addiction is and how it affects their brains compared to one who is not an addict.