Set aside alcohol for a minute; this article is saying that because the absolute risk of an activity is not zero, the activity is inheriently unsafe. That's not true, not an appropriate strategy for decision making, and most importantly not an effective way to influence behaviours. This is the definition of perfect as the enemy of better.
Well ya? Is that not self-evident?
See, there's this thing I enjoy very much, but I was forced to stop because of evidence of the negative consequences. Now, since I am a kind person, I can share the knowledge of those negative consequences so may be you could avoid them, too.
Said another way, if I were not negative to said activity that I enjoy, I would still be doing it. And if I were indifferent to the well-being of others, I wouldn't be vocal/share.
Alcohol has numerically similar numbers of cancer cases, and cancer is just one aspect. Now it is less, and we can argue about how widespread the use is ect. However, it cases 1/3 of the cases, heart disease, mental health problems.
Are you a drinker? Especially since quitting, I've noticed a lot of drinkers get incredibly defensive against something that seems very rational and well supported by evidence.