Quantum-classical equations of motion satisfying Jacobi identity were recently proposed by V. V. KISIL ( Europhys. Lett., 72 ( 2005) 873), generalizing the Heisenberg group formulation of quantum mechanics. In the attempt to provide a physical interpretation for the resulting quantum-classical dynamics, we have reconstructed and analyzed the derivation, finding that there is a suitable representation from which the purely classical nature of the supposedly quantum-classical equations of motion clearly emerges.