Several factors may influence the security vulnerability discovery rates. The projection of these rates might help the development and the prioritization of software patches. Previous work studied the seasonal behaviors of the vulnerability discovery process for several operating systems and web related software systems. We propose a replication study of an experiment conducted more than a decade ago to understand the changes in the dynamics of the security vulnerability discovery rates. In contrast to the findings from ten years ago, the investigated systems do not exhibit a year-end peak. Besides, the higher incidence during mid-year months for Microsoft operating systems was only noticed for the most recent Windows OSes: Windows 8.1 and Windows 10. These results highlight the importance of reproducibility in scientific works. In the area of cybersecurity, in particular, it is important that models are created from studies conducted using updated data.