Olá Pedro,
Extending agile culture beyond IT is mandatory to ensure the success of agile methodologies. Indeed, development teams rely heavily on their inputs and all the benefits brought by agile methodologies are lost if their surroundings don’t share the same values and rhythm.
In «traditional» project management, communication between stakeholders (in particular from Business) and a development team is usually difficult because these are two different worlds. Scrum tackles this issue by creating a bridge, an interface between those worlds: the Product Owner, who works with the development team (usually in the same place, part time of full time). She represents all the stakeholders interested in the product (Business, Strategy, Management, Sales…) so she can define and prioritize user stories accordingly.
A Scrum project consists in a team of people working together to provide value to stakeholders through the delivery of user stories, following a goal: a vision that is built and defended by the Product Owner and shared by all the team members. The work of the Product Owner, just like any other team member, is not represented as stories (which are the project outcome) but as tasks, so the Product Owner may create his own tasks in the iceScrum sprint plan.
Depending on how pure Business people work, it may be relevant to manage their work with Scrum and create an iceScrum project for that but I would not make it a priority. What I think is the most important is rather to ensure that they understand and share the agile values and work together with the Product Owners to ensure that they have enough information at a sufficient rate to feed the development teams.
