Forensicus -
Correct me if I am wrong, but I believe I understand your assertion and would like to paraphrase it just to make sure that we are all actually debating the correct point.
You are saying that Jan Ors adds a single die to the attack, and that this is done at the very beginning of the sequence. Therefore, when we reach the point where we "perform this attack twice", THIS ATTACK would already have the extra die. Doing it twice would entail performing an attack (with an extra die), then doing that same attack (still with the extra die) a second time.
I believe your interpretation is completely consistent with the text on Jan Ors' card, and the text on the Cluster Missile card. If that were the end, I would endorse your point of view. However, in what is unfortunately a fairly common event FFG has confused the issue with its FAQ. When you read the rulings on Cluster Missiles that are in the FAQ, you find out that FFG wants us to treat the two Cluster Missile attacks as being completely separate in all ways. This is self-contradictory even within the FAQ because they ALSO want us to treat it as a single attack when it comes to weapon selection (Cluster Missile for both), Target Lock use, and target selection. The FAQ ruling comes out something like "The two attacks are completely separate, totally unrelated attacks. Except where they aren't." With no further explanation, this is certainly unsatisfying. I believe our only option is to just take it at face value without trying to make sense of it. Cluster Missiles are the "same attack" when it comes to Target Lock requirements and use, and for target selection. Otherwise, we treat them as completely separate attacks in all ways, regardless of the actual wording on the Cluster Missile card.
Therefore, because the FAQ instructs us to treat the two Cluster Missile attacks as being completely separate attacks we must treat them as completely unrelated to one another when applying Jan Ors' ability, despite the fact that this is inconsistent with the wording on the Cluster Missile card and inconsistent with some of the Cluster Missile mechanisms as detailed in the FAQ. Like the ruling on Proximity Mines and Boost, we are going to do it this way "just because", and trying to make more sense out of it than that is just a path to frustration.
Edited by KineticOperator