While witches, evil sorcerers, and the like, may create freezing cold storms, beings that attack by virtue of simply being very cold are not common in myth, or indeed, in early fantasy literature. Tolkien mentions "cold drakes", but these are simply dragons that don't breathe fire, rather than being any supernaturally low temperature. Nonetheless, when Gygax was looking around for different attacks for the five basic chromatic dragons, intense cold seems (at least in retrospect) an obvious fit. Perhaps as a counterpoint to the fiery dragons being the most powerful these, the white dragons, became the weakest.
1E
White dragons are not only the weakest of the chromatic dragons but the weakest of dragons overall. A step down from the black dragons, while they do have much thicker hides and stronger jaws, 1E white dragons have about the same ability to sustain physical injury as a tiger. In fact, their claws do less damage than a tiger's do, so it's possible that their legs are actually less muscular (or the claws are blunter, or smaller, which seems unlikely).
