tempest wrote:
Multiplying the co-efficient of friction between the tyre and the road
Though your reasoning is a good simplified version. If you actually look into the material science of tyres, you will realize that most of the grip has nothing to do with co-efficient of friction. In actual fact it is the high tech way the polymers are blended into racing tyres, that result in an uneven force distribution pull the car forward or into a corner. So much so, that tyre are constantly slipping (hence the term slip ratio, which I forget the equation definition of the SAE, i remember it was bit fudged to make the negative signs look nice) and even when turning the front wheels do not point the direction the car is going.
My view of the original question. Larger weight is larger inertia forces. Which means you need bigger efforts to turn round a bend, to brake, to accelerate.
When already moving, thanks to downforce. The inertia of the lower car means that the centrifugal force is still based on the mass of the car and the radius of turn. As tempest was leading to, the extra benefit of the downforce is relating to the tyre grip.
Oh, and one final note - on most road cars, spoilers and 'aero' devices are stuck on for the wrong reasons.
Also some cars like the Audi TT have a stock spoiler at the back for different reasons. Besides drag and downforce you have pitching moments. The Audi TT is by nature unstable, when you go over a bump the car prefers lifting its nose up, and this in turn further increases the pitching up effect. The spoiler at the back is to bring back the stability by causing a restoring moment in such a scenario.