Conceptual yo-yo problem?

If you draw the free body force diagrams of each disk, both have two forces on them: the gravitational force mg toward the ground and the upward force T from the tension of the string. The only difference between the two diagrams is that T for disk B is offset from the gravitational force such that the disk will also start spinning as it drops. Although this disk will spin while disk A will not, the magnitudes and the directions of the forces on the two disks will be the same, so their centers of m will fall to the ground with the same acceleration. Disk B will have more kinetic energy when it reaches the ground because it will also have some rotational kinetic energy in addition to the same amount of translational kinetic energy as disk A.