Correct. Look at the specifics for Burt Rutan's Voyager world-record non-stop heavier-than-air circumnavigation. They specified the need to cross the equator

Correct. Look at the specifics for Burt Rutan's Voyager world-record non-stop heavier-than-air circumnavigation. They specified the need to cross the equator twice in order to avoid such shenanigans, perhaps with a few more constraints.