The zetetic method involves looking at every possibility and evaluating it to find the truth: feel free to add to my humble list of options;
Maybe the sun moves quicker on the equinox, instantaneously swapping between the zones to ensure each gets the 12 hours we see.
Although it has to move at the constant speed that we see so we'd have to factor this in to make it work.
Also we still get sunrise and sunset so it has to move quickly between the zones to give each 12 hours but yet slow enough to produce the gradual diminishment/emergence we see.
Maybe the suns ray are more intense and it angles its rays differently so that although appearing to move at the same speed it is able to send its rays of light ahead of it. Maybe the spotlight splits into multiple spotlights so that it can send its light wherever it's needed to give us the light we see whilst still appearing to be moving at its steady pace in east to west motion. Although why would the sun do this twice a year and why don't see these extra beams of light and how would it look from the area that is getting these "advance" sun beams before the sun rises?
Maybe the earth is a globe.