Am I bold? No. Are my claims true? Yes.
The truth is you would NEVER see anything go under the horizon, including the sun, with your model for flat-eyed people. The sun is NOT 32 miles across, it is NOT 3,000 miles up, and it does not go around in a circle. In fact it would appear to get bigger as it got closer. Does the sun seem to get bigger, apart from sunrise and sunset? No.
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This video shows that the sun would never appear to set, it would just go farther and farther away., and that the moon would not be able to be seen with the naked eye. It shows a moon larger than the one in the model for flat-eyed people, yet still you can see the far side of the moon from some continents as it's orbiting.
Now let me explain what vanishing point is. It is the point where the bad guys in Pokémon go *ding* at the end of the episode after they are launched.
Imagine the sun did the same thing. It would just seem to shrink to a point while going to the right (or left) then, a ding (not really but, yeah).