People have a weird psychology of denial. The problem is never the thing being abused, but it's easier to blame that thing. The problem is always personal -- and is typically a person's inability to moderate themselves. That's the root problem.
So going "cold turkey" has its appeal for a lot of people, but it's really just denial. Worse, when in denial, all it takes is an opportunity to encounter the stuff and binging can immediately occur because the thing has suddenly taken on some kind of totemic power in the eyes of the abuser.
So in the end, going cold turkey is like the gay man who joins the priesthood to "cure" himself of his homosexuality. That's avoiding the problem, not facing it.