You can set a collaboration in both scenarios, that is both in the collaborative and in the competitive scenario, to be a template. When you create a collaboration in either scenario you can then select another collaboration as a template. Doing this copies the Public Area of the template only.
You must have at least read authorization for the Public Area of a collaboration to use it as a template. Any objects for which you have read authorization or higher are then copied. However, authorizations and work areas are not copied.