That is true. And others will deny it because they are just in love with the bottle. They are offered help, and willfully turn it away because they want to drink that much.
I have a family member who was a drug addict. Slightly different problem, but not really. Motivations and such are the same. He was from an affluent family who tried to get him help at every turn, he was hospitalized for detoxification, and so on. He would get clean and immediately go use again, until ultimately he was caught in a fire because he was in a flophouse, and sustained brain damage from it. He knew the stigma. He knew the outcomes. He had the resources and support. But it was a matter of just not WANTING to. I'm not at all saying that all addicts/alcoholics are, but it's more than a few.