First, we're not talking about the same thing. The arc from that video was constrained to two electrodes and not allowed to move. So the plasma or hot gases rose upwards which lifted the arc over the course of a few seconds. The arc was constrained in this case. Any movement "along" a bus bar would have been outwards along the electrodes of the switch contacts. Since that would entail an increasing resistance (metal is more conductive than plasma), it won't happen.
Arcs on open bus bar are another matter entirely. The arc is constained such that movement away from the bus bars themselves would follow the exact same physics that you described. That is, it would move based on air currents. However that is simply not true in the direction parallel to the bus bars. In that direction, so long as there is not a substantial barrier to the plasma, the arc will move along the bus bar. This has actually been measured at JHU-APL and is roughly a few hundred feet per second. This is much faster than would be captured by a normal camera on a Youtube video. You can often see the effect in some videos as the arc shoots along parallel lines on an overhead power line akin to a Jacob's ladder.
Both arc flash incidents that happened at my current employer that I have on record involving MCC's had the arc initiate at one location, travel down the vertical bus, and erupt out the ends of the vertical section. This paper shows damage from an MCC where the arc travelled vertically DOWN the bus multiple times:
http://www.neiengineering.com/wp-conten ... esting.pdfOr this one:
http://www2.schneider-electric.com/docu ... ect038.pdfIn fact travelling plasma leave small sawtoothed "arc tracks" on the bus bars where it passes by and is forensic evidence that can be used to determine the origin of an arc. This is mentioned in the NFPA standards for forensic fire investigations.
Hence the reason that we are talking about two entirely different things, the movement of an arc along an unconstrained surface such as parallel bus bars, compared to the movement when it is constrained to a point such as on the ends of high voltage contacts in open air switches or on an arc gap style voltage multiplier ladder.