Wow!!! I am glad I was at work and got to read all this afterwards. I never would have been able to restrain myself!
First things first. The missing moves given, excluding 29…Qf6, were exactly three missing move pairs. This was not in question. Both parties and the TD were in agreement on this, and this is quite explicit in the rules. The language Mr. Hillery keeps emphasizing means only that a half-move on its own counts as a full missing move. Jwiewel is quite correct that black-white counts as one missing move pair. As Mr. Hillery would remember quite well if he just took a pill.
Second, I left out lots of details in my explanation of the events, because they really don’t have any bearing on a correct decision. I was the white player of course, and at the time black’s flag fell I knew exactly how many moves had been played, and therefore how many I had missed. What I did not know was how this particular TD would rule if I wrote down any moves after my opponent’s flag had fallen but before I made the claim. It should not prejudice my claim, but I have seen enough dubious TD decisions to not want to risk it. Anyway, I had a very good reason for thinking that my scoresheet was in fact complete enough to make a claim.
My opponent did not notice the fallen flag, nor did he know how many moves had been played, because his scoresheet was missing way more moves. For all he knew, 35 moves had been played, and that is why he was interested in helping reconstruct the moves. (As indicated, I could have done it without his help.) All discussion about black claiming his own flag is clearly nonsense, because even if he had noticed, he had no real clue how complete my scoresheet was. All he knew was that it was much more complete than his.
By the way, a two-minute penalty would have been quite pointless. Black’s flag is down, the game is either over or continues in the next time control. Two minutes either way for either player would have had no practical effect.
Now that we have disposed of all that, can we get back to the real point of this quiz? Which is rule 9G, of course. This is clearly a reasonable interpretation, not “frivolous” at all. (Edit: Possibly frivolous. At least the point I make next is not correct. In fact the TD never agreed with my interpretation.) In fact our TD agreed with me to the point of over-ruling his previous decision! Quite exceptional. (Edit: Not quite so exceptional.)
If you are the TD, how will you answer someone who reads the rules this way?