  The theory for light-hole Zeeman splitting developed in [Physica E 44, 797
(2012)] is compared with experimental data found in literature for GaAs/AlGaAs,
InGaAs/InP and CdTe/CdMgTe quantum wells. It is shown that the description of
experiments is possible with account for excitonic effects and peculiarities of
the hole energy spectrum in a quantum well including complex structure of the
valence band and the interface mixing of light and heavy holes. It is
demonstrated that the absolute values and the sign of the light-hole $g$-factor
are extremely sensitive to the parametrization of the Luttinger Hamiltonian.
