We perform an su(2) Hamiltonian reduction of the general su(2)-invariant action for a self-coupled (4, 4, 0) supermultiplet. As a result, we elegantly recover the N=4 supersymmetric mechanics with spin degrees of freedom which was recently constructed in [S. Fedoruk, E. Ivanov, and O. Lechtenfeld, Phys. Rev. D 79, 105015 (2009)]. This observation underscores the exceptional role played by the root supermultiplet in N=4 supersymmetric mechanics.
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