No, it doesn't mean this. What they mean is that any amount of alcohol consumption causes some amount of harm. From the research I have seen it seems to be more or less linear. Minuscule consumption means minimal harm.
The implication isn't that you or anyone else should necessarily reduce your consumption to zero. It's that it should not be assumed that there some level of consumption that causes no harm or is beneficial (as previously believed). That is what the phrase "no amount is safe" commonly means in medicine. It is a purely medical recommendation.
This is totally separate from a dietary guideline, which would weigh the risks of alcohol against the social reality of it's consumption. That is the way that you seem to be interpreting it.
Also I'm not the person you responded to originally, but interestingly it seems like arsenic, in tiny quantities, is actually essential to our biology.