Here is some information to put things in perspective, snipped from my
JCW Pro coilover unboxing thread:
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Stock Sport Suspension:
Droop @ 17.375" front and 16.5" rear
Ride Height @ 14.75" front and 14.375" rear
Free Compression @ 13.75" front and 13.125" rear
Bumpstop Compression @ 11.875" front and 11.625" rear
Put into a different context:
Total Possible Stroke is 5.5" front and 4.875" rear.
From Ride Height to full Droop is 2.625" front and 2.125" rear
From Ride Height to first bumpstop contact, or "free compression travel" is 1.0" front and 1.25" rear.
Full bumpstop compression adds another 1.875" front and 1.5" rear of compression travel, but it won't be comfortable.
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To have this make sense for lowering springs, let's look at the re positioned ride height per the manufacturer claims. NM claims on an F56 Cooper S the front will lower 1.3" and the rear 1.22". That means the front suspension will be compressing the bumpstop 0.3" and the rear will basically be almost resting on the bumpstop. This means you'll have about 1.5" front and rear of very stiff compression travel, because the effective spring rate of the bumpstop, being exponential to infinity, is significantly higher than the coil spring.
Just to put it in perspective regarding bumpstop spring rate, the MINI's springs [having not measured them yet] are probably in the realm of 250 to 300 pounds per inch of compression and will be fairly linear. So hitting a 2" bump would mean between 500 and 600 Lbf. A typical Penske black bumpstop has about 1.5" of total compressability. The first inch needs only 250 pounds force, but since it's exponential the last half inch needs an additional 1750 pounds force, and any additional compression approaches infinite force. The big nail in the coffin is the car is setup by MINI's chassis and suspension engineers to use several hundred pounds of force deflection [when you hit the majority of bumps in the road] to maintain a rational ride quality and chassis composure, and lowering springs get rid of that buffer, putting you right on the bumpstops.
Lowering springs are an affordable solution to primarily achieve an aesthetic, as having no free compression travel means you the suspension has no ability to comfortably absorb bumps on a straight road, let alone during a corner when you need the bump travel the most to maintain confident chassis composure. In terms of day-to-day with lowering springs, certainly the F56 with its greater suspension travel will be less harsh than an R53 on lowering springs, which most of the time felt like you had tie-rods for dampers. I haven't studied the Countryman damper arrangement, so I unfortunately can't comment with regards to your previous MINI.
If you live on glass smooth roads, none of this will matter. For those of us in the rest of the world, lowering springs aren't the wisest idea.