  Quantum Belinski-Khalatnikov-Lifshitz scenario presents an unitary evolution
of the system. However, the affine coherent states quantization applied to the
quantization of the underlying classical scenario depends on the choice of the
group parametrization. Using two simplest parameterizations of the affine
group, we show that qualitative features of our quantum system do not depend on
the choice. It means that the quantum bounce replacing singular classical
scenario is expected to be a generic feature of considered system. This paper
complements our recent article [1].
