The industry may have created that phrase in a conveniently ambiguous way; still, in English, positives are always better than negatives when giving a command. Consider the difference between "I don't eat junk food" and "I always eat healthy foods." The first contains the proposition that you have the capability of eating junk foods; the second does not.

Perhaps "Always Drive Safely" or "Always be Responsible" as the link text would be better?