Have you? The twist is not in the overall shape, but in resolving the contours. The cap as manufactured has tumblehome. When you pie-cut through the tumblehome, the inclined angle at the front stays the same, while the angle at the rear corner increases.
The loose piece is too flat and rectangular for the contour you need. If you put the bottom half on your truck and then add a curved tube across the back, as a header for a crescent-shaped lift gate; then you just need to fill in a smooth contour. You could use the flat piece if you put curved ribs inside to hold its shape.
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