The real reason that a mini corners better when it has been lowered, apart from the lower centre of gravity, is because the camber angle has changed.
A normal mini will have between 0.5 and 1.5 degrees of POSITIVE camber. As the car is lowered the camber angle becomes more and more negative. On cars lowered to their maximum (just off the bump stops) it will have become around 0.5 degrees NEGATIVE camber.
This is something that needs to be taken into consideration when fitting things like negative camber bottom arms. Too much negative camber (more than 1.5 degrees negative) can result when putting these arms onto a lowered car.
Let me clarify wat I said earlier about lowering and a stiffer ride.
As a suspension trumpet is progressively shortened, the angle between the top arm and the trumpet changes, ie lowering by only 1.5 inches the suspension ratio changes from 1/3 to 9/30 ( a 10% change), so the rate at which the cone is compressed as the wheel moves up into the arch is increased.
The trick with rubber cone suspension is that, unlike most coil springs, the "spring rate" changes as the cone is compressed. It is not constant.
The more the rubber cone is compressed, the higher the spring rate becomes.
So put these two things together and lowering a mini results in a stiffer ride, even before you get close to the bump stops.
This small increase in stiffness over the new lowered range of suspension travel will do little to improve handling, but it explains the "jiggliness" of the ride quality of a lowered mini.
Of course, if its lowered enough for the top arms to hit the bumpstops the "jiggliness" will become horrible suspension "crashiness".
Anyway, feel free to take whatever I say with a grain of salt - I'm only another bloody mechanical engineer
Cheers,
Ray.