At least the article gets it right though
As has already been said as soon as you “go”, if you aren’t turning some infinitesimal amount you aren’t going east. It’s only a surprising result when misleading people by arguing that east is a particular heading.
It gets tricky if you suggest that you can only travel along a great circle in the direction of the rotation along that axis. Since the axis is actually tilted, this is the result you get from traveling along that great circle.
It's like handing someone a compass pointing East, then saying "walk in a straight line", and expecting them to slowly travel in a wandering arc. It's insane.
Also, the GGGGP that I replied to started by trying to walking a tangential line to a sphere resulting in a space walk. That's like THC induced levels of strained thinking of the subject.
Then the first line of the puzzle should be "completely ignore the title of this puzzle because it's somehow not part of the puzzle. It's unrelated. It will completely mislead you"...