Angular momentum conservation as a consequence of rotational symmetry is a foundational and well-established principle of classical and quantum mechanics, famously encapsulated by Noether's theorem.
The claim asserts a fundamental relationship between rotational symmetry and angular momentum conservation as derived from Noether's theorem. This is a foundational, standard fact of theoretical physics (common knowledge in physics), supported conceptually by literature discussing Noether's theorem (such as paper [3]). No retrieved papers refute the premise.