I thank Bill Smythe for the puzzle, and Bill Bulkis for the forceful answer, which is indisputably correct on all points under the FIDE Laws of Chess.
I still remain uncertain that the FLC outcome is correct under the US Chess rule set. My uncertainty has two grounds:
First, unlike the stalemate rule 14A, 14D has no language indicating that the move triggering a “dead position” immediately ends the game.
Second, unlike the stalemate rule, in which the position on the board speaks for itself, the TD Tip associated with rule 14D explicitly suggests that the draw must be claimed. Yes, I know, TD Tips aren’t rules, but their presence must mean something, and if there is no requirement of a claim, then the TD Tip means nothing.
I am a strong supporter of the adoption of the FIDE Laws of Chess for all US Chess play, for a variety of reasons. The undisputable and just result of this game under the FLC is one of them.
But under US Chess, on the facts as described, I do not have a position that ends the game, and I do not have a claim of a draw. I do have a claim of a flag fall.
Under US Chess rules, White wins. I am comfortable defending this position on appeal.