I suspect, the salient fact that the CDC is leaving out is that many, if not most, of these are from car accidents.
Also, by qualifying it as "working-age" it skews the results heavily. What about all the people that did all that drinking and managed to make it past working age?
Lucky for us, automated cars are going to solve most of this problem in a decade or two. So a more honest assessment would answer how many adults are dying from non-vehicular drinking causes.