Release : 15.8.1
Component : CLARITY APPLICATION
This behavior is by design. The user would require this right along with access to the specific program/sub projects to be able to access them. Programs are a little different from projects where you just need project specific rights since programs include a lot more data (multiple projects) versus a single project.
Clarity 15.8 documentation: https://techdocs.broadcom.com/us/en/ca-enterprise-software/business-management/clarity-project-and-portfolio-management-ppm-on-premise/15-8/reference/clarity-ppm-access-rights-reference/project-and-portfolio-management-access-rights.html
Management - Programs
Allows the user to navigate to Programs and access the programs to which they have access. This right is dependent on the user having project view or edit rights to the programs and subprojects.