The negative is quite often a common. Switching a common can be defeated by plugging things together that provide an alternate path. This can't happen with switched positive (unless a very unusual topology).
You are switching a battery cell (in Dave's example explanation), which is floating. Once it's switched out (by the plug being plugged in), one end of the battery is connected to nothing, it doesn't matter what you plug in where, it's not connected. It makes no difference if that thing that isn't connected is the positive terminal, or the negative terminal of said battery.
The only way it could was if you considered perhaps that you have the chassis at negative potential, and the battery cell is of a metal negative encased type, and the insulating covering over the cell is damaged or not present, and the cell is mounted in such a way that in some circumstance the now exposed metal case of the cell can come in contact with the chassis.... but if we go to that extreme the same can pretty much be said for a positive terminal coming in contact with the chassis.
Dave should have named this video "what is the third terminal on DC jacks for", I think any link between center-negative and the pass-through connection of a DC barrel jack is very tenuous at best.