Chuck,
I just remembered a line from the case book that might have helped you.
You wrote: "When the whistle blows, I look at the clock and see 0.6 seconds. The clock then continues to 0.0 and the horn sounds."
Oh, now that I look it up, it is actually in the same paragraph that you quoted earlier.
I'm thinking of "One second or the "reaction" time is interpreted to have elapsed from the time the signal was made until the official glanced at the clock." (5.10.1 Sit B Comment on page 41.)
This would be your only justification for putting back .6 seconds, if you were so inclined.
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