Stefan
Legend
Since the gap could move to any place on the layer from which the piece popped, it can be placed anywhere in that layer. Where as on a 3x3, the gap would be stuck between 2 edges or corners, and since they can't interchange freely, the gap remains in the same relative place. Since it can be placed anywhere, the worst case would be a DNF, even though the orientation is fixed.
Why should you move the gap? That doesn't even seem permitted.
What about a popped 4x4 edge, edge+center pair or edge+center+center triple (in a straight line)?
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