Our organization has several established Scrum teams with Product Owners pulled from the business units based on their subject matter expertise (both product level and process level). When one product is complete, the business would like to swap out that product owner with another product owner to better align with the new product. The rest of the team (Dev members and ScrumMaster) would remain the same.
Does anyone have any experience with this paradign (changing product owners on established teams based on product expertise)? What works? What doesn't?