In Japan, CooperS has LED as default while Cooper does not (option).
In AT model, the price difference between Cooper and S is about yen500K or USD5K (Cooper at yen 2.80mil and CooperS at yen3.32mil).
However, Cooper S has almost everything you need such as Navigation, LED main light and fog light, sport sheets, performance control, LED ring and Blootooth hands-free phone system as default in addtion to 2.0L engine. I believe these this difference will well deserve for additional USD5K.
In fact, at the moment, BMW Tokyo salesperson told me most of thie initial buyers are looking to CooperS.
Probably cost concious consumers are waiting for cheaper One sometimes in the future.