You made the claim that these professions have and require knowledge of the shape of the earth to do their jobs.
I'm actually not making that claim. The claim I'm making is subtly different -- it's that these professions make heavy use of a globe model in their everyday work and would definitely notice if this model weren't accurate.
On a round Earth, the shortest distance from Sydney to Lima is
7964 miles. On a Flat Earth, modeled by the Azimuthal Equidistant projection, it's almost 14000 miles (see badly made image below) -- nearly twice as long! And that involves going over land, so any sea route would be even longer. Are you expecting me to believe that professional pilots and captains can't tell the difference between 7,000 and 14,000 miles?
The fact that pilots and ship captains need to know their whereabouts is such a basic, common-sense, indisputable fact that I've had trouble finding any website that would bother to explicitly state that. If you're saying that these people who pilot these craft for a living follow their directions so blindly that they don't actually know how far they're going or where on Earth they are, then I think you need to provide some evidence for that yourself. Never mind the fact that people have navigated the seas, including in the Southern Hemisphere, using round-Earth-based maps since well before anything like GPS was invented. You can't say that
they were just blindly following the directions of their technology. Furthermore, if you subscribe to the Azimuthal Equidistant map as the correct representation of the Earth, there's the
Vendee Globe race to consider, which either goes around a relatively small Antarctica, or circles the circumference of an enormous disc.
Then there are the live meteorological maps that I've linked a few times. The fact that the data fits perfectly onto a globe Earth means that it necessarily fits
imperfectly on any other shape. If the weather data coming across the Pacific didn't match up with reality, South American meteorologists would realize it.
Here's my map showing the distance from Sydney to Lima (very approximately). Really, anyone with a shred of common sense can see this map couldn't possibly be the way the world literally looks -- even the landmass of Australia is terribly stretched.