I know neither of us really believe the sun stalks anyone, but is purely impartial, so it's hardly worth expending the energy to be rude.
It's an entertaining concept on the part of Larry, and light heartedness is to be valued wherever found.
If there's a competent pilot at the controls, I don't need a compass to arrive at my destination.
Without a competent pilot, I may need a big life raft and life vest for peace of mind, and to arrive anywhere.
Argentina is on the West side of South America so we were actually flying southwest all night, ten hours.
The sun was visible when we left Kennedy and visible when we arrived in Buenos Aries.
Leaving Kennedy for Israel, we left in sunshine, flying East, and landed in sunshine 12 hours later.
Those are the longest non-stop flights I've experienced, and being mainly over water, I wouldn't want them any other way - than non-stop.
Because those countries south of the equator have their seasons reversed from ours, i.e., their summer is our winter, their spring is our fall, their days will be long when ours are short, and short when ours are long.
A meteorologist, I am not. What does that do, if anything to your equation?
Unless you do this very late in the day or at night (if at night the sun ISN'T stalking you), yes, quite positive.
As for your trip to South America.... You do know your directions don't you? South America is south, not East. It is right there in the name of the continent even.... South America, key word (or more specifically, direction) is SOUTH!
But yes, typically if you fly far enough East but not too far, you can usually escape the stalking sun, at least temporarily.