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If you morph between two objects with different transforms, the output has the identity transform, while the interpolated geometry has baked in the positions of each point to fit that new identity transform space. Instead, we want to interpolate the source and target transform spaces, then generate the morphed geometry within that space.
Bonus: does this, or can this be improved to, fix the issue where morphing from an object to an upside down version of that object causes it to shrink through a scale of 0 along the interpolation even though only rotation, not scale, was involved in the source and target? Relevant background info.