It's not unusual to be a little crabby and out of sorts for up to the first week (for the majority of people it passes within 4-5 days) while they are going through carb and possibly caffeine withdrawal. But...that period of time is not the entire diet! I know from personal experience, I was far harder to live with when my blood sugars were all over the place than I am now.
When an addict is detoxing, they are invariably crabby and those around them will definitely have to suffer through it with them. But...I don't hear too many people using that as a rationale for addicts to stay addicted.