All stakeholders in the process should generally agree about the role and its purpose, and the formal job description should reflect the same line of thought. Of course, there will be variations in the way different people discuss or understand the opportunity. But if a program manager describes goals for the role that have absolutely nothing to do with how a VP describes the same thing, you’re in trouble.
When there are jarring discrepancies between each interviewer’s account of a position, candidates have trouble picturing themselves in the role. That’s the opposite of the desired effect.
You want candidates to be able to envision the contributions they’d make to your organization, so make sure not to let organizational misalignment sully their view.