The nodal oscillations of matter orbiting compact objects such as black holes and neutron stars are usually applied for the explanation of the observed low-frequency quasiperiodic oscillations. In the present paper, we test the applicability of the nodal precession variants of the magnetically modified geodesic model based on the epicyclic motion of slightly charged matter in the magnetosphere of a neutron star represented by the Schwarzschild geometry combined with the dipole magnetic field for fitting of the twin high-frequency quasiperiodic oscillations observed around magnetized neutron stars. We demonstrate that there is a nodal precession variant giving a possibility to fit the data similarly to the standard relativistic precession variant, and we show that the other nodal variant can be clearly excluded.