We present comparative studies of the orientation effect of a strong magnetic field on the interlayer resistance of alpha-(BEDT-TTF)2KHg(SCN)4 samples characterized by different crystal quality. We find striking differences in their behavior, which is attributed to the breakdown of the coherent charge transport across the layers in the lower quality sample. In the latter case, the nonoscillating magnetoresistance background is essentially a function of only the out-of-plane field component, in contradiction to the existing Fermi-liquid theories.