That is not what the analogy implies. The example you just mentioned is referring to cars of completely different suspension geometry, aerodynamics and I'm sure many other things. Essentially comparing apples and oranges.

A more appropriate way of thinking about it would be to say a lighter and heavier SUV of the same make and model and both with the same tires or a lighter and heavier F1 car with the same suspension geometry, suspension setup, areo and tires. In these cases the car that weighs less will be able to corner faster because the tires still can only do the same amount of work but since the car weighs less it can pull more lateral g's until the force on the tire reaches its limit. This would also assume that the CG height is still in the same location, since you could remover weight from down low and effectively raise the CG of the car. Also granted, that the lighter car would be even better if the springs and dampers were adjusted for a lighter weight.