No, Alec has not.
The force due to gravity is the same on all objects, regardless of shape and size. The acceleration caused by this force is 9.81 m/s². So if there are two identical pieces of paper, both will experience an equal force of gravity.
The difference in the papers' flight paths is due to the greater air resistance that the flat paper experiences. If the same experiment were to be repeated in a vacuum chamber, both of the pieces of paper would fall at the same rate