In this paper, we study the path-based shared protection (PBSP) and the link-based Hamiltonian cycle protection (LBHCP) schemes for tolerating single-link failures in survivable wavelength-division-multiplexing networks. Although previous work indicated that PBSP can perform better than link-based shared protection including the case of LBHCP, from theoretical analysis and simulation results in this paper, we can clearly see that this indication of previous work is not suitable for LBHCP since it can have a better resource utilization ratio and a faster recovery time than PBSP. Therefore, the new result of this paper is a modification for the previous inaccurate idea and it also can well guide future work of researchers.