Larry, the increased risk of cancer associated with alcohol consumption is a small but real effect. While the biggest risk is for breast cancer in women, other cancer risks are also increased, and for men as well. One might reasonably argue that the absolute increase in risk is tiny for those consuming less than 14 drinks per week, though the definition of “tiny” is highly personal.
The study population that led to this conclusion was large enough so that genetic predisposition washes out. That said, none of us knows our personal individual risk and none of the population studies tell us that, only the odds for the population. It matters not if the risk of a bad outcome is 1% if you’re the one.
I tried to put together a practical breakdown of the study data here: