The Mini has a very short available suspension travel - obvious really.
That is why rubber cone springs were chosen as the spring medium originally. The rubber cone springs give the correct deflection as load is applied and are true rising rate springs.
Coil springs are totally unsuited to a road-Mini due to the impossibility of replicating the accurate rising rate and load-to-deflection figures of the rubber springs.
It is a different matter on a race car where the track is totally smooth and a much higher initial spring rate can be used to reduce body-roll on turn-in, but here we are not discussing racing Minis.
On the road, once a coil spring 'binds', the results can be very serious. The sub-frame can fracture or the suspension ball joint(s) can fail. Photos of this have been posted by Nick, Spider and others - it ain't pretty! This is a constant risk as no-one can predict if or when a bump will be encountered which deflects the suspension until the spring 'binds' (that is, it bottoms out and goes 'solid').