By studying some bouncing universe models dominated by aspecific class of hydrodynamical fluids, we show that the primordialcosmological perturbations may propagate smoothly through a generalrelativistic bounce. We also find that the purely adiabatic modes,although almost always fruitfully investigated in all other contextsin cosmology, are meaningless in the bounce or null energy condition(NEC) violation cases since the entropy modes can never be neglectedin these situations: the adiabatic modes exhibit a fake divergencethat is compensated in the total Bardeen gravitational potential byinclusion of the entropy perturbations.