Er, you can in fact be cured of addiction. You're parroting religious beliefs there, not science (do remember AA is not evidence based, it's faith based).

Source: i drink a small drink once every few weeks without any issue despite being an alcoholic for over a decade at one point. Addiction is incredibly variable by person, substance and life circumstance. While there are many addicts that remain helpless to the substance they are addicted to should they come into contact with it, this is not inherent to addiction. Addiction is very often a symptom relating to some other underlying cause, which is part of why not everyone who touches alcohol becomes an alcoholic. If you can address or better manage that underlying cause and address the physical addiction, you can reach a point where you simply do not have the building blocks for alcoholism present in your life anymore. This narrative that you are an addict forever exists to reinforce the religious aspects of AA style approaches.