The stereo-360 videos aren't really stereo
However, in the next test, I numerically modified the camera coordinates to shift it 64mm to the right, and I obtained identical top/bottom frames between them but noticeably different from the previous file. I manually combined the frames (taking the top from the initial file and the bottom from the one with the right-shifted camera), and I obtained a view that, at least when looking forward, is what I need (see the result in stereo-manual.png). Unfortunately, this cannot be a solution because when looking backward, the eyes receive views that are simply inverted, as if you were looking cross-eyed. Multiple captures should be taken, gradually rotating the left-right cameras around a fixed point and combining the central strips of the resulting images. At least this is the solution described by the creators of the stereo-panoramic plugin for Unreal, where the results are indeed 3D.
https://www.unrealengine.com/en-US/tech-blog/capturing-stereoscopic-360-screenshots-videos-movies-unreal-engine-4


