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The example blurred images look very "clean" for lack of a better term, as if they were produced synthetically by motion-blurring crisp images in a particular direction. I wonder how well it fares with real shaky-camera footage (where the path of motion blur in a given frame might not even be a straight line)

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So much so, to me it looks like they took the clean image and added the blur in post, but I really do not believe nor claim that's what they did. It's just what it looks like. The speeds of the motion aren't even the same, so the interpolation is just off which is what gives it the uncanny valley feeling for me.

The camera motions do not need to be the same. Gaussian splatting reconstructs the scene in 3d, and you can then render the scene from arbitrary angles, so they just gave it a random camera motion to show you the 3dness of it.

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