That is, with Noether's theorem, it feels to me the conservation of angular momentum somewhat stands out because the measure is more of a derived one. That is, rotation of something is really more of an interplay between inertia of the constituent particles and the forces that hold them together. Isn't angular momentum at its core then more a measure of inertia? If that's the case, I feel when compared to the more "basic" pairs (time symmetry/energy conservation for example), angular momentum conservation feels oddly out of place. Any insights?