Skipping to the end of the pixar paper this is based on:
"We have shown that harmonic coordinates offer an effective character
articulation method that improves on previous methods in several
ways. First, harmonic coordinates are non-negative, and their
influence falls off with distance as measured within the cage, leading
to intuitive behavior even in strongly concave situations. Second,
harmonic deformations offer greater topological freedom in
crafting control cages. Specifically, arbitrary linear cell complexes
can be used where necessary to more precisely control the interior
nature of the deformation."
So its more like using a FFD lattice than a wrap, but you can make the base shape in a fairly arbitrary shape rather than just a box, its fast, and the results are predictable.