"The National Institute on Alcohol Abuse and Alcoholism defines binge drinking as a pattern of drinking that brings a person’s blood alcohol concentration (BAC) to 0.08 grams percent or above. This typically happens when men consume 5 or more drinks or women consume 4 or more drinks in about 2 hours."
This seems to be one of those cases where the special interest definition of a term and what the general population considers a reasonable definition diverge.
Killing anything less than a 6-pack is generally not considered binge drinking by the population at large. There's also an intent element. Binge drinking involves drinking to get drunk. Killing a 6-pack because you're sitting around with your buddies drinking and watching (edit: American) football is not binge drinking to anyone who isn't a card carrying member of MADD.