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It sounds like everyone in the family would benefit by having the truth revealed. The kids would understand their possible genetic tendency for alcoholism. The mother would feel she did her best for her kids. The father might benefit the most because he could quit carrying around a secret, and hiding a big part of who he is from his kids. That has to be tough on him but the burden is easily lifted.
As an alcoholic with 17 years sober, I try to remember that it is not always about me, as much as I would like it to be, and that I must sometimes make decisions to benefit others and not myself.