All I see is they told you, like they told me, that things appear four times smaller at double the distance and that is supposed to explain inverse square law, which it does not.
You are precisely and exactly wrong, here. Lest someone stumble across this and become confused, let me be quite clear: Tris is wrong on this point. Things appear 4 times smaller at double the distance, and that is exactly the explanation for the inverse square law.
Just please point some reference. Surely if what you say is true it should be mentioned in some text books, there would be some article on the internet about it, right? It's not some kind of secret knowledge, I suppose, so please just give me some link where I can confirm what you are saying.
Your issue is this, which we have said multiple times: THE INVERSE SQUARE LAW ONLY APPLIES TO POINT SOURCES, ie sources of light that do not have any dimensionality and radiate light equally from that point in all directions. You can then generalize that to other forms, based on a serious of more complicated equations, or just fudge it, if the non point object is small enough.
Because spheres are literally formed by the inverse square law (ie gravity), they also follow the inverse square law. Flat panels of light, or groups of light that are visually in line with one another or any shape that isn't a tiny point or a sphere, DO NOT FOLLOW THE INVERSE SQUARE LAW. You can use a giant softbox, which essentially turns a small source of light into a large panel of light, and meter the light coming from it, and it clearly doesn't follow the inverse square law, which is the whole point of the thing in the first place. Under your justification, all objects would have to follow the inverse square law, regardless of size or shape. WHy would a sphere dim differently than a flat panel?
However, when you understand the justification for the inverse square law, we've laboriously been trying to give you, you'll understand why the inverse square law works for points and spheres and extremely small objects in the visual frame.
I think the biggest issue is you keep confusing light emitted by a subject on a viewer with apparent brightness of a point. ie think of a large floodlight, closer, it takes up more of your visual frame, it's emitting more total light on you. However, the intensity of the vectors of light isn't less further away, it's that fewer vectors are hitting you. any single vector of light is the same intensity as before. The light didn't lose energy.
Additionally, if you consider your diagrams, the lights you are drawing aren't following the inverse square law, their brightness is decreasing by a power raised to the 4th. If the diagrams were as you drew them, the power of my speedlight would, for example 10,000 at 1 foot. At 2 feet the power would only be 100. If we followed the diagrams you are showing.