In the raw footage the wavefront will almost always appear to move from the closer points to the further points simply because it takes time to propagate, and we see that in their example here. This is now somewhat misleading, as they're synthetically moving the camera in post (but not the pulse propagation). I point this out because the team have also developed an "unwarping" technique to cancel it out, and they demonstrate it at the bottom of their website. Note how the scattered light now propagates outward intuitively.
https://anaghmalik.com/FlyingWithPhotons/
https://anaghmalik.com/FlyingWithPhotons/media/moving_videos...