Dressing stone vs Abrasive File

The first product is a dressing stick, so if you have abrasive impregnated grinding machines, you use it to flatten and true them. A binder would be chosen to stay strong and hard with the heat produced. Generally with stone you want a dressing abrasive harder than the stone, but as they mention particularly cleaning and truing diamond abrasives, it appears it is adequate in this case to be stronger and harder than the binder.

The second product appears to be more for hand filing, sharpening and shaping high strength metal cutting tools like wood chisels and punch dies, so they likely have flexibility to choose binder properties that are better for low speed hand work.