I had to go back and redo the mesh creation of the object with fewer control points in the curve.
If it were just the one pin and nothing else I’d have left it as is, but since there’s going to be 10 of them, an animation, and a bowling ball, it made more sense to use the fewest possible while retaining shape.
Since I knew what I was going to be doing next, I shifted the vertices before spinning to match the reference.
Reference image has been shifted along the X-axis slightly for comparison.