Part 7/10:
This phenomenon is not contradictory to Earth's spherical model but rather a well-understood aspect of how light behaves in Earth's atmosphere.
Clarifying the Misunderstanding
The assertion that more than half of Earth must be directly illuminated to account for the 99% figure is a misunderstanding. The data includes:
Daylight
All three twilight stages, which together can encompass a significant portion of the Earth's surface
The reflected and refracted light passing through and around Earth's atmosphere
When these are factored in, it is entirely feasible that most of the population around the globe can perceive some degree of sunlight or twilight at that specific time.