In a skillet set over medium heat, brown the ground beef together with the diced onion until the meat is cooked through and no longer pink.
Incorporate the minced garlic, salt, and black pepper into the pan. Stir in the ketchup and mustard, allowing the mixture to simmer for 1 to 2 minutes. Remove from heat and set aside.
Unroll the refrigerated dough on a lightly floured work surface, forming a rectangular shape.
Distribute the cooked beef mixture evenly over the dough, leaving a small border around the edges.
Scatter the shredded cheese across the beef layer to ensure even coverage.
Beginning with the long side of the rectangle, roll the dough tightly into a log shape.
Cut the roll into slices approximately 1 to 1.5 inches thick, forming spiraled pinwheels.
Line a baking sheet with parchment paper and arrange the pinwheels with adequate spacing.
Combine the melted butter and garlic powder in a small bowl, then brush the mixture over the tops of the pinwheels.
Place the tray in a preheated oven at 375°F (190°C) and bake for 15 to 18 minutes, or until golden and baked through.
If desired, apply an additional layer of garlic butter after baking and sprinkle with dried parsley before serving.