Sorry i dont have the game number anymore.
Counting house says something like "X takes a copper and 5 other cards" in the log. I understand that in real life dominion you can only see the top card taken / discarded and appreciate the high correctness of this in the log, but in the edge case of counting house it should read "X takes 6 copper". I have the information that my opponent only took copper, because in the real life game he has to show me that he only took copper from his discard.