To my understanding, Ks is derived from the subgrade modulus Es, and Es is in a sense similar to the Young's modulus - correlation between stress and strain. It's a soil parameter that should be estimated by the Geotech based on the materials on site, deformation/settlement characteristics of such materials, type of foundation system, and type and magnitude of loadings. Although Es is not as exact as the measure of Young's Modulus, it is an indication of how stiff/flexible of the soil subjects to instantaneous external loadings.
For small or structures mainly subject to uniform loads, Ks serves no better than an elastic analysis (straight line approximation). However, for larger industrial type structures with irregular loading patterns, the Ks is highly desirable to be used in the structural calculations, since it will provide better picture on variations of internal stresses of foundation due to deformations, thus allow the structural guys to provide better reinforcing arrangement.
To me, Ks & Es shouldn't be just picked from a handbook without fully understood the soil properties/behaviors. I agree that these parameters are normally not provided, but to be requested by the owner (at extra cost?) or its representative.