I don't think we're on the same sheet of music at the moment. Let me see if I can explain better by using a comparison. Forgive me that I don't remember your rank, let me use 4th Dan since that number is in your quote above to serve as an example. You test under your instructor for 4th Dan, pass the test and perhaps get a Kwan or Dojang cert. Since you and your instructor both belong to the KKW (I don't know if you do, just an example), you pay the appropriate fee and your rank is now recognized by the KKW. A representative of the KKW may or may not have been present (as far as from KKW admin in Korea). Thus you are now a KKW 4th Dan.
Okay, my instructor was a member of the WIF. I tested under my instructor for all my TKD rank. He recommended becoming a part of the WIF, as he had done. In effect, the WIF would be our organization in the same capacity that the KKW would serve another. Just as your KKW instructor vouched for your being a certain level by a Kwan or perhaps Dojang cert, mine did the same. This, in addition to all of my other training history was sent to the WIF HQ. GM Davies, after reviewing my credentials and the rank my own instructor had promoted me to, choose to skip my rank upwards. As GM Davies is a well known, well respected martial artist, I would humbly submit that this positively reflects upon my training history. As I mentioned earlier in this thread, I soon after requested do be downgraded. Again, I would suggest this positively reflects upon me as well. I mean, who asks to have their rank reduced by petitioning the president of the organization. I did so respectfully and offered my justification for not skipping my rank upward. He accepted my request. Bottom line, I was happy with being, I think 5th, at the time and didn't want a skip upwards.
Bottom line, GM Davies did not test me, he relied upon the word of my instructor (my training history that was sent was just extra in my opinion). Just as the president of the KKW would not have tested you personally, he relied upon the word of your instructor that you were what he stated.
I hope this is a bit clearer?