chapter 2 in each book should describe it from a volume perspective: Therefor paragraph 2.4.3 should be the value of the volume to the business... (see service design). In SO it is a generic value to the business. In SS it does not have the value to the business described. Better alignment between these values would be beneficial.
Figure 4.8 in Service Transition and Figure 4.6 in Service Operation are both exactly the same, but one is a representation of a CMS, the other a representation of a SKMS if you read the subtitles.