An experienced CTO suggests that for the 3 products the company is building, they should have 3 Product Owners and rotate them between Products every 4 months. The CTO says he has tried it before in his previous job and reduces the dependency that teams have on a Product Owner. Product Owners can be exchanged between Scrum Teams, without any impact on team or velocity, as the Product Owner does not do any development maximizing general domain knowledge.
Do you agree with this approach?