That's true, the ability to pass current is diminished considerable as the temperature decreases, while at the same time the current requirements go up, due to sludgy oil and frozen parts. But it's the hot weather earlier in the season that destroys batteries, they tend to sulfate up permanently and never recover. The first cold snap or freezing weather exposes the damage. Keep them charged is the best defense, or bring them indoors when not being used in hot weather.