Yes, grated ginger generally provides more intense flavor than chopped ginger because grating releases more of its oils and compounds.
When you grate ginger, you're essentially breaking down more of its cell structure compared to chopping. This breakdown releases a higher concentration of gingerol, the compound responsible for ginger's characteristic pungent and spicy flavor. Chopping ginger, while still flavorful, leaves more of the cell structure intact, resulting in a milder flavor release. The increased surface area created by grating also allows for better flavor infusion into the dish you're preparing. Think of it like this: grating is like squeezing a sponge to get all the water out, while chopping is like just letting it drip.
If you want a milder ginger flavor, use chopped ginger. If you want a more intense ginger flavor without the texture of the fibers, use ginger juice extracted from grated ginger.