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Caster setting has an effect on the "weight" of the steering. The less caster, the less steering "weight", IIRC. More caster gives you better stability at speed but resists steering inputs more. Less caster gives a lighter feel but less high speed stability. I'm not sure of the stock caster settings on the two cars but I suspect it might be less positive on the older car than the newer car.
And yes, tire size will have an effect, as will the weight of the front bumpers and any junk in the trunk, tank capacity, etc.
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