I was off at the official site today and discovered that they finally addressed the question regarding "less than 12 parsecs". A parsec, being a measure of distance and not TIME, was applied to the run and Solo's claims. I guess I'll buy this one.
Q.Han claims that the Falcon made the Kessel Run in less than 12 parsecs -- but a parsec is a unit of distance, not time. What's the deal?
A.While Captain Solo is known to make boastful claims that seem to defy the basic laws of space-time physics, in this particular case, an understanding of the mechanics of the Kessel Run illuminates this statistic.
The Kessel Run is a contest of speed and endurance for smugglers. Those who undertake it must deliver specified cargos (usually illicit in nature) to a series of divergently moving transport vessels. The smuggler must deliver the cargo before the transports wander out of the free trade lanes into restricted Imperial space.
Solo's record is impressive, since the transport vessels covered less than 12 parsecs of distance during his hurried run between them, a testament to his piloting and the speed of the Millennium Falcon.