It states that existing service publications for continued airworthiness do not instruct you to specifically disassemble and inspect with a 10x magnifying glass the two stabilator control cable turnbuckles so this AD and SB 1245A tell you to do that. It doesn't tell you to pull the floor boards up.
I can understand what you are pointing at, specifically this quote from the PURPOSE section:
Yes, SL 1135 does refer to examination of the entire surface of ALL control cables but the PURPOSE of this AD and SB 1245A are to provide specific instructions for the recurring inspection of the stabilator control system. The NOTE refers to additional flight control cable maintenance requirements that are not a part of this AD. Just because a specific document is referenced doesn't mean that you then have to fully comply additionally with everything in that document as well as the document you are currently complying with. Not to mention any further documents that may be referenced in the referenced document.
I mean, talk about a can of worms... Sometimes you just have to use common sense here, it's really pretty straight forward - take those two turnbuckles apart, clean and inspect them as well as the cable terminal ends and put them back together. That's it, end of task.