Did you try it? It works on the small model exactly as it does on the earth. This is literally something you can test yourself.
I've tried many experiments on this and the globe absolutely does not work with it.
It really does not work.
Interesting. I once lived next to a mountain. At sunset I could watch the sun disappear behind the horizon. Then I could turn around and see that the sun was still shining on the mountain. I could watch the shadow line slowly move up the mountain. If you were standing on the mountain you would still be seeing the sun.
This matches perfectly with a globe earth rotating and a large distant sun.
How does it match a flat earth?
If the sun was still shining on the mountain then it would also show a flat Earth.
If it supposedly dropped under the globe as you and the mountain move away from it then there would be no shadow.
How could the Sun shining on only the top of a mountain show a flat Earth? You say "there would be no shadow" and yet there is.
We have to do it the opposite way for my personal example, but I have been on Mt. Desert Island in Maine and watched the sunlight move down from the top of a seaside hill. Those of us at sea level could not see the Sun as it hadn't come up over the horizon. Those on top of the hill
could see the Sun, as it was over the horizon for them. My personally verifiable evidence of this fact is the sunlight clearly on the top of the hill and a shadow terminator slowly moving down the hillside until the Sun actually crested my horizon.
It would be the same principle but opposite effect for sunset. People at lower height observing a shadow slowly moving up the building/mountain until the Sun finally sets (later) at the top.
This observation is undeniable fact, repeatable for anyone and everyone, requiring no special knowledge, training, or equipment, and it's a fact that has no explanation in a flat Earth model (without causing a different problem that is also easily debunked).