Pardon my stubbornity. I always hate it when people ( me, myself in this case) are too dense to accept perfectly good answers when they themselves asked a question. Why ASK if you disagree with the answers given.
But it still seems to me that everywhere East and West exist AT ALL, that the sun would rise in the exact east and set in the west on the equinox.
I know that when the sun first re-appears it would have to be a little short sunrise in the South, howbeit.
Even at the North Pole at the equinox, the sun would be BELOW the horizon UNTIL the Spring equinox and gradually would rise ABOVE the horizon at the spring equinox, going in circles following the horizon, and by midsummer reaching its highest arc. Then spiral down again as we pass midsummer and go below the horizon at the autumnal equinox., first disappearing in the south—gradually the place of sunset would move westward and rise eastward.
But since the sun is far away and not orbiting the Earth as the moon does, we’d still see a perfectly eastward sunrise and westward sunset at the spring and fall equinoxes, respectively. The sun would stay in the south but close to the horizon between that perfectly East and perfectly West point where it rises and sets below that Southern horizon,
I’m going to have to work this through until my brain is completely familiar with how it works.