Preheat oven to 375˚F with racks placed in upper and lower thirds.
Line two large baking sheets with parchment paper or foil and spray if using foil.
In a large bowl, mix imitation crab meat, cream cheese, mozzarella, garlic, green onions, soy sauce, and sugar until evenly combined.
On a lightly floured surface, roll out each sheet of puff pastry.
Spread the filling mixture evenly over each puff pastry sheet, leaving a ¼ inch border around edges.
Roll puff pastry tightly from a long end into a log and press edges to seal.
Wrap each log in plastic wrap and chill in the refrigerator seam side down for 15 to 30 minutes (optional for easier slicing).
Using a sharp knife, cut each log into ½ inch slices to make 16 pinwheels per log.
Arrange pinwheels on prepared baking sheets spaced about 1 inch apart.
Brush whisked egg over the tops and sides of the pinwheels.
Bake for 15 to 20 minutes, rotating pans halfway, until golden brown.
Serve warm or at room temperature with desired dipping sauces.