I didn't see it mentioned in any of the replies, but once an "improper batter" reaches a base or is put out during a play. (i.e. still not at bat), only the Defense can appeal that it's an improper batter. On the other hand, either the Defense or the Offense can notice there's an improper batter still at bat and replace him with the proper batter, who then assumes the count, if any.
Jerry
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