In TFA he tries the geodesic line first before trying the various projections. It doesnt' really fit any of them because even with these extremely cherry-picked seven points, you can't retcon them into having been designed to be in a line when they weren't.
Take a small enough map or globe and a big enough sharpy anf everything is on a line.
Agree so, there is no line besides the one people make up.
I wonder what the width is in miles of a chisel tip sharpie on a beach ball sized globe. 100?