Below is a generic definition of the benefits of lowering springs. I'm confused, why do the Tein lowering springs for my car not have higher spring rates than stock???

"Lowering springs use increased spring rates engineered to cope with the reduction in travel, while still preventing bottoming of the suspension under most conditions found during normal driving. The increased spring rates help control side-to-side body roll during cornering, as well as the pitch and nosedive experienced during spirited acceleration and braking."