[_flux]

I think gyroscopic data still can have the edge if it has higher sampling rate than the video: then it could be used for removing blur from individual frames.

I also expect purely gyroscopic approach to be much lighter compute-wise.

[7e]

I expect you can recover most if not all of the gyroscopic data even from a blurred image, possibly at higher accuracy.

[_flux]

I actually don't think that's possible, if you assume the objects in the video can also shake and the intent is to eliminate only the camera shaking.