Yes, as someone said, this is product placement and especially in this case, probably not what he uses in real life.
The bulging "belly" means that it will cook unevenly. A portion of the ingredients will not be exposed to the heat because the lower part is wider than the width of the contact area. This may be done to reduce the height, or might be just for cosmetics. A sloping side DOES have some function in a pan, but in a recurved pot, I can't think of any benefit
Cuisinart and Belgique (a macy's house brand) also make pots like these. Cuisinart calls their version of this their "contour" series, but it doesn't look like their handles
Cuisinart often sponsors PBS shows, as BrianShaw said, I'd check the end credits
