The twisted box data type only stores 8 corner points and assumes linear deformation between them, which limits its ability to achieve complex morphing. What you need instead is a method that supports full space-morphing using cages. (Source)
For more flexible deformation, consider using the MeshCageMorph component created by @DanielPiker Piker. You can find it here.
CageMorph.gh (8.3 KB)