Your knowledge is pretty thorough GBor, especially the part about knuckling under to whatever the ACO wants. The problem being some ACO's are different, and have requirements that are not based on consistent guidelines and sometimes even contradicts the FAA's own information. I say "consistent" because as it started off, USAF and FAA DT terminology and methodology was remarkably close. And for "contradicts", one example is AC25.571-1C says threshold inspection can be set by EITHER (emphasis added) fatigue with an appropriate scatter factor (yours being 4) or slow crack growth with initial manufacturing damage. Not "lesser of" though there is additional conservatism there. Like you, I have only seen fatigue trump Ndet or Ncr/2 in one instance. Another variable I see is what you have for repeat inspections, the 3 in the denominator seems to be an EASA thing that has been randomly adopted. Sometimes it's not even 3, it's a fatigue scatter factor. And using fatigue scatter factors in DT is like nails on a chalkboard to me (along with stress concentration factors on top of stress intensity solutions). Again conservative, but not very indicative of an understanding of the definitions or their origins. Design Service Goal is defined in AC25.571-1 but is not a regulatory requirement. Mainly a customer expectation or manufacturer warranty, if you will. And good luck getting the DSG for a 560. With DT, is there really a DSG?- conceptually fly it forever (as long as you follow the program!).
rb: I may have been too brief about Special Conditions. They are for "high altitude aircraft" of which the 560 is one. Nowadays the requirements are part of regulation, amendment 25-87. Read the preamble for some background. Basically whenever "high altitude" applies there needs to be a leakage analysis through cracks propagating over four (and number can vary) inspection intervals. So what better way to know how long/wide your crack is than by DT (LEFM). Fatigue can't get you that. So depending on the analytical results, there may or may not be anything to go into the ICA. Rarely see leakage driving any maintanance, even on a small cabin like a 560. There are going to be standard hull checks anyway; that is when cracks are typically found.