Many specialty materials, such as fabrics or flex face canvas for canopies or awnings, often have their own specific swatch books. It's no different than swatch books for brands of different kinds of colored roll vinyl to run through a vinyl cutter/plotter. At best, Pantone swatch books are really only a common intermediary reference to ballpark those colors. If you have a really picky customer it's usually best to show that client an actual swatch of the colored material rather than say it looks like a certain Pantone spot color.
Most corporate brands will use Pantone spot colors as a reference for official logo colors. Most will default to the coated book. I rarely ever see anyone spec uncoated spot colors. What gets tricky is when a company does a brand re-fresh and uses newly added Pantone colors. Some graphics applications, such as Adobe Illustrator, may not have spot color swatches updated to include those new colors. Subway Restaurants' latest brand update is an example of a company doing that. Adobe's solution is making users buy Pantone's color manager software for $99. Supposedly if you have a new swatch book you're supposed to get the software for free. But you're S.O.L. if the swatches you bought didn't include any freaking serial numbers. Corel has been pretty good at updating its swatch books in CorelDRAW, but you have to avoid the default Pantone swatch book and bring up the Pantone+ V3 books to get at the newer colors.