Yeah, spherical geometry exists. But using various projections makes for better click bait.

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?