Bp for the sake of discussion it is the perfect situation you describe and they really do reverse midway on the course equal cross wind from the right to an equal cross wind from the left.
Its an air race point to point and who gets there first wins -oh and yes theoretically speaking same two aircraft, same performance, airspace and weather not a consideration, but you cant change level, cant change the crosswind, you can only change how you navigate.
- yes and I know not very real world!