Well pronation is actually a very confusing issue. I'd be lying if I said I fully understood pronation, and so would the other "experts" chirping in.
The video is not "horrible" it is what it is, a dramatization intended to give a layperson some idea of what the terms mean. It was not submitted to the court as evidence for or against the argument that one can overpronate when barefoot.
To help clarify, Trackheads argument that one can not overpronate barefoot or in a minimal shoe comes from the oversimplified theory that pronation refers to the angle of the plantar surface of the foot with the ground. Without a midsole to compress the pronating forces during the stance phase can not drive the inner aspect of the foot lower than the outside. In otherwords, your foot can not be everted with respect to the ground. However, the situations depicted on the Brooks site can occur, and the foot can be everted with respect to the lower leg.
This eversion does occur when running barefoot. When studied carefully (with intracortical bone pins) some runners will have more eversion when running with shoes, some less (see posted figure from Stacoff et al. Journal of Biomechanics 33:1387, 2000). It all depends on the individual.
As for your podiatrist, I can't imagine why he would be suggesting you were an overpronator based on bone structure. All he would have to do is watch you run. Did he do that? A good podiatrist will treat function, not structure. Orthotics, if they are going to be used should be designed to treat an observed movement problem, not just molded to fit your feet. Pronation is too complex to make gross generalizations such as all flat footed people overpronate and high arched individuals underpronate, although those patterns may occur more often than not.