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It's not just about the power to weight ratio. If you have a 3500lbs car rolling down the highway, it takes a certain amount of force to make it stop, turn, or accellerate. If your car is only 2500lbs, it will be 'more willing' to change direction than a 3500lbs car. Lighter = more nimble in every way.
However, power is still very important, because weight does not affect your top speed - it only affects how quickly you get to the top speed. Aero, Horsepower, and Gearing are what determine your top speed. Those little lotuses are quick bastards around small and tight tracks, but a heavier car with significantly more power can be faster at the big long tracks!
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