At the monment, if you tilt your head, the 3D content can tear as the eyes go out of vertical alignment.
Could you add a feature change the vertical eye offset based on head tilt angle (Assuming you can detect head tilt).
It will never be perfect as it depends on what is being focussed on in the movide, but it would allow for a less rigid experience.
If you were going to include the feature, please ensure a sliding degree (how much offset) per angle of tilt.