It's funny how in the video turmeric is described as being "used primarily to give food color." Yes it has intense color, and will stain your hands and clothes a sort of chartreuse color, but this isn't the way I understand turmeric at all.
To me it's at least as much a flavor and aroma, and the flavor is a little different when using it fresh or dried. The same is true for ginger - taste some fresh ginger compared to dried ginger. The fresh ginger will be 'brighter' and more citrusy, while dried ginger is hotter and more peppery. In some traditional medicine these things might even be prescribed differently, fresh or dried, for a specific use.
But to me these are also special ingredients that are just as much medicines as they are foods. Galangal (Thai ginger) is another edible rhizome in this family of plants. Also if you can get fresh rhizomes, all of these make interesting potted plants, but I've never had luck over-wintering them.