These are just my thoughts...
I'm thinking that in gusty winds, as the aircraft tilt adjusts to keep itself in/on the current intended position/course, the gimble adjusts to try and stay and stay steady on it's intended view. I'm guessing that if a gust of wind suddenly ramps up or down, the gimble might struggle to "keep up".
For example, I noticed that in your video, as you are heading out away from the beach when the camera view seems level, the right-front prop is tilted down much further than the left. This tells me that the aircraft is fighting a significant wind from the right side. Given that, if that right-side gust suddenly gives out, the aircraft might not be able to adjust back quickly enough, and become tilted way far over, more than it needs to, bringing the gimble with it which might not be able to keep tilt-left enough. And that's when you see the camera view snap right.
Notice also that as you turn around to the left, the visible props seem to "descend" to about the same level, indicating to me that since you've turned the aircraft around about 180 degrees, the wind is starting to come at the aircraft from a different position.