Preheat the oven to 350°F (175°C). Grease an 8 × 4-inch loaf pan with butter.
Melt the butter in a small skillet over medium heat, stirring occasionally until it turns golden brown and smells nutty. Watch carefully to prevent burning, then remove from the heat.
In a large bowl, whisk together the flour, dry butterscotch pudding mix, baking powder, baking soda, pumpkin pie spice, cinnamon, nutmeg, and ginger.
In a separate bowl, combine the browned butter, brown sugar, pumpkin purée, and beaten eggs. Stir until evenly blended.
Add the pumpkin mixture to the dry ingredients and stir just until combined. Avoid overmixing to keep the bread tender.
Pour the batter into the prepared loaf pan and smooth the top. Bake for 60–65 minutes, or until the top is set and a toothpick inserted into the center comes out with a few moist crumbs.
Let the bread cool in the pan for 10 minutes, then carefully transfer it to a wire rack to cool completely before slicing.