Dave Reed,
The notion of "causality" you suggest is a red herring and, ultimately, a futile pursuit.
The "Note" is absolutely relevant - because the advance did not occur "...while the improper batter was a t bat...", it does not stand.
There really is no penalty for batting out of turn - only for completing an out of turn at bat.
As I read the rule, the offense is not allowed to benefit from any action on the pitch/play during which the improper batter completes his at bat.
Advances which occur prior to the completion of the at bat (i.e. "while the improper batter is at bat") stand.
And no, I can't find anything "definitive" either. And I've looked.
JM
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Finally, be courteous, impartial and firm, and so compel respect from all.
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