Notice how Dual Quaternion method preserves the volume (very important). There is also a 3rd option called Blended Weight where you can paint the DQ and CL influence on bind mesh.
The dual quaternion smooth skinning method is designed to eliminate these undesirable deformation effects. While linear smooth skinning allows a mesh to collapse or shrink when a bone twists, dual quaternion skinning helps to preserve volume in the mesh, creating more realistic deformation in those problem areas.
BTW feel free to take a look into these wonderful tech demos on skinning & deformation.