Comment on: “Comparison of quantal and classical behavior of PT-symmetric systems at avoided crossings” [Phys. Lett. A 334 (2005) 144]

After a thorough numerical analysis of the quantized Barbanis' system (two harmonic oscillators coupled by Vint=gxy2), Nananyakkara [A. Nananyakkara, Phys. Lett. A 334 (2005) 144] conjectured that there exist no true level crossings. Here we report an opposite observation. A systematic improvement of the precision of the calculations forces us to conclude that in the system in question one finds no avoided crossings at all. Our twin explanation of the discrepancy is based on the false convergence of the variational method and on an unexpected (and unaccounted) degeneracy of the unperturbed energies in loc. cit.