First of all, the call was correct. The same CR can not be used for both positions, even if it is the same player whos has changed positions.
Second, I think someone dug up that the original draft of the rule said "in the same half inning " and then "or any time during the game" was added with the usual lack of attention to proofreading, causing confusion and making it harder for umpires. The other theory was they were trying to emphasize the "not at all" aspect and so they wrote it redundantly.
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