This is a good question, but it's not obvious that geodesics will lead to the most visually pleasing gradients. In particular, because of hue super-importance,

This is a good question, but it's not obvious that geodesics will lead to the most visually pleasing gradients. In particular, because of hue super-importance, a geodesic between two highly chromatic colors of different hues will bend toward gray, which might not be as representative of a "gradient" intent as linear motion through a nice space such as Oklab or IPT.