Preheat Oven and Prep Pan:
Set oven to 425°F (220°C). Grease or line a jumbo 6-well muffin tin with paper liners; reserve.Mix Wet Ingredients:
Combine sugar, vegetable oil, melted butter, eggs, and vanilla in a large bowl. Stir in mashed banana until just incorporated.Combine Dry and Wet Mixtures:
In a separate medium bowl, whisk all-purpose flour, cake flour, baking powder, and salt. Alternately add flour mixture and buttermilk to banana mixture, starting and ending with dry ingredients. Gently fold in chocolate chips. Avoid overmixing; batter should remain slightly lumpy.Fill Muffin Wells and Bake:
Fill each muffin well to 1/4 inch from the rim (they should be very full). Bake at 425°F (220°C) for 5 minutes, then lower temperature to 375°F (190°C) and bake another 25 minutes until tops are light golden.Cool Muffins in Pan:
Take muffins out of oven and let them rest in the tin for 15 minutes, then move to a wire rack to cool fully (or until you can't wait any longer).