There’s definitely some streaking in the sky that rotates with the glare. Not obvious at first glance, but watch the videos a couple of times and you’ll see it.No, there is indeed a correlation. The reason you're not seeing it is because the magnitude and direction of the apparent movement aren't the same as the apparent rotation of the image field window, which is to be expected in a mechanism that uses the compounded movement of multiple axes to correct the orientation. But the noise in the sky, in particular, is perfectly in sync with the apparent magnitude and direction of the rotation of the blob. You can even discern the preferential direction of the glare distortion within the noise.