I think the spirit of the rule is that TGP is only 1/3 value if the player is trying to end the game in only one ball. As in, that’s the primary goal.
You could argue that in the scenario you put forth, player two is trying to accomplish a goal in one ball, but that’s kind of like saying a game where player 2 in a two-player game is DQ’d because they accidentally go first shouldn’t count towards TGP because no one actually played.