The nodal oscillations of matter orbiting compact objects as black holes and neutron stars are usually applied for explanation of the observed low-frequency quasiperiodic oscillations. In the present paper we test applicability of the nodal precession variants of the magnetically modified geodesic model, based on the epicyclic motion of slightly charged matter in magnetosphere of a neutron star represented by a 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 possibility to fit the data similarly to the standard relativistic precession variant, and we show that the other nodal variant can be clearly excluded.