IBM Style Guide suggests, "To distinguish whether a noun is a common noun or a proper noun, consider whether the noun refers to any one of many items (common noun) or whether it refers to the specific name of one item (proper noun)."
Because this is the name of a single, specific role that each Red Hat corporate account must have, that suggests the answer is "Organization Administrator / Org Admin".
In Red Hat customer-facing documentation (solutions, articles, CCS guides) the role of Organization Administrator appears several ways.
Because all the variations refer to the same role, we should use the same term for this role.
Customer Portal Examples: https://access.redhat.com/solutions/17215 https://access.redhat.com/articles/1757953 https://access.redhat.com/articles/customer-service-accounts
Customer Documentation Examples: Satellite https://access.redhat.com/documentation/en-us/red_hat_satellite/5.8/html/getting_started_guide/chap-organizations
User Access/RBAC https://access.redhat.com/documentation/en-us/red_hat_hybrid_cloud_console/2021/html/user_access_configuration_guide_for_role-based_access_control_rbac/assembly-rbac-procedures
IBM Style Guide suggests, "To distinguish whether a noun is a common noun or a proper noun, consider whether the noun refers to any one of many items (common noun) or whether it refers to the specific name of one item (proper noun)."
Because this is the name of a single, specific role that each Red Hat corporate account must have, that suggests the answer is "Organization Administrator / Org Admin".