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This ignores the other issues of alcohol. Cigarettes may be worse for the one consuming them but alcohol kills many, many people in car crashes that would have been preventable without alcohol. Stopping the consumption of alcohol needs to be a goal as far as possible. Your point about cooking, I don’t really see as too important. Sure, alcohol has uses like cleaning or cooking, this doesn’t change the danger present from it.
Historically that has not been the trend. Prohibition had related issues that could be dealt with, with the hindsight we have now but it you look at it, Prohibition was successful at reducing alcoholism. Secondly, no one said to make it illegal, just to put warnings on it to reduce consumption. Thirdly, there are other ways of reducing consumption besides outright criminalization, like raising taxes on a product significantly or limiting its sales for individuals.