We present a semiclassical interpretation of the time-reversal spin interference (SI) observed in the square loop arrays made of In0.53Ga0.47As quantum wells [T. Koga et al., Phys. Rev. B 74, 041302 (2006)]. The simulated amplitude of SI as a function of the Rashba parameter alpha captured characteristic features in the experimental results if gamma less than or similar to 8 eV angstrom(3) is assumed for the bulk Dresselhaus spin-orbit constant gamma. Our work proves the validity of the semiclassical approach to predict the effect of time-reversal quantum interference in mesoscopic systems and the values of the spin-orbit coefficients recently deduced from the weak localization/antilocalization experiment.