In the P4 framework, the Stakeholder Story represents the extension of the User Story to all stakeholders. It can and should be used to formulate the needs and requirements of all Stakeholders for the product. These are much more than just the users, especially in the environment of physical product development.
Stakeholder Stories can also be used in organizational and process development, e.g., when it comes to determining which information and content is needed in which reporting format by the various organizational units.
The format of the Stakeholder Story is the same as the user story:
As a stakeholder, I need product property, to goal/need.