This is where you get to the heart of the matter, in my opinion. This example is about the section of NM cable between the entry to an NM wall box and the first strap securing the NM cable to the stud. This 8" to 12" length of NM cable is NOT installed parallel to the framing member because the cable must come away from the stud surface at the staple at an angle (no longer parallel) to the box entry, therefore it is not covered by the rule describing NM "where installed parallel to the framing member." 2017 NEC 300.4(D). This 8" to 12" is ALMOST parallel, but the Code doesn't say "almost parallel", only parallel.
Where PARALLEL to the framing member OR furring strip, the NM cable has to be 1-1/4" behind or away from the "nearest edge" of the framing or furring, or else it has to be nailplated. To me, the huge hole in this concept concerns the nailplating strategy. When NM cable is going through framing in holes or notches, the nailplate only covers the framing, not the additional 1-1/4" on either side of the framing; AND, in the case of your example that I quote above, the NM cable that is not parallel to the framing / furring doesn't have a requirement for nailplating, in my opinion.
In my experience, AHJs have differing opinions about this.