When watching 3D movies with a VR headset you have to keep your head perfectly still or the lack of parallax destroys the 3D illusion. Compare to a 3D game where moving your head actually lets you move through space and actually look around objects.

Something like this applied to every frame of the movie would allow you to move around a little and preserve the perspective shifts. The limitation that you can only move about 4 feet in any direction would not matter for this use case.

Of course this comes at the expense of the director and cinematographer's intention, which is no small thing.