The 2 types of surface on a diamond stone is duo-sharp & dia-sharp. The first being a hole punched looking surface (as you say interrupted) and the later a continuous surface.
The duo surface holds half as much diamond particles as the full surface. They both work. The dia works faster. Plus, when sharpening a knife's tip I've had the duo-sharp damage it when it drops down in a hole. I own several of these different styles diamond stones. I use them sparingly as the surface layer is very thin with the diamond particles and being friable they will break & shear off. So, I don't get the life out of them that I get with other stones. Plus, they are pricey. (just my experience, your mileage may vary) The 2 different types of diamonds used on stones are monocrystalline & polycrystalline. The better longer lasting type is the monocrystalline. This is the type DMT uses. The other brands use the polycrystalline type diamonds. If you don't sharpen a lot the Smith stones will work. Good luck, DM