Yes. That's because during freezing rain events the south generally has warm, moist air in place when the cold fronts move in. Since the cold air is heavier than warm air it tends to knife its way under the warm layer. The colder air then tends to condense the moisture to make it fall as rain. If the cold air below freezing and 'thick' enough, it can turn into sleet before hitting the ground. But if the freezing layer below is very 'thin', it doesn't have a chance to freeze while falling and will then freeze on any surfaces that are at 32°F or colder.