After reading this thread, it seems to me it would be helpful for newcomers (some of whom say they're having a hard time understanding the "experiment") to show a video of the sun (or moon) passing apparently through clouds, but have the screen split across the middle with that video in the top half, and a second one in the bottom half. I don't know how to split videos like that but I think you know what I'm referring to.
The video in the bottom half could show the same subject because it's a video taken at the same time as the one on top, using a different camera, with exposure set to manual, and let it be greatly underexposed such that the clouds that got washed out in the top video would still be visible in the bottom. This could be accomplished using polarizing filters adjusted for very dark, like getting close to a solar filter's effect, but not quite that dark. The idea being to get the otherwise overexposed clouds to still be visible. Some trial-and-error might be necessary to get the right exposure set manually, and it would be difficult to then operate the other camera at the same time once the proper manual exposure is established, so it would be a lot like sports photography (which I have some experience with) where you have to anticipate a great play or action in ADVANCE of it happening, since if you're not ready to press the shutter release, by the time you get ready, the play already happened and it's too late.
While I realize that perhaps not ALL of the seemingly behind-the-moon clouds would become visible again, even if so much as a portion of them were seen in the bottom half it would be effective.
When both videos are played together one on top of the other, the viewer could then see how the camera's exposure makes a lot of difference. It takes experience with photography to learn this, and it's something most people have no desire to learn, thus their inability to grasp the meaning of what this thread has to offer.
I can imagine a split screen view of the same moon (or sun) moving from the left side all the way across the screen to the right side, with the same thing going on in the top half and in the bottom half of the screen. But in the top half the same clouds you see appearing to go behind the celestial body are in the bottom half really moving in front of the body. The exposure could even be changed along the way to emphasize how it allows the viewer to see clouds in front, that he had thought were going behind.