It goes to the role that you want to have the different governments play. If you want them to have a direct governance role where they're on a board of directors, for example, that's one model. Another model is just providing funding; that's a second one. There are myriad approaches you can take to get towards something that's a collaborative approach between the provinces and the federal government.
I think what it really means is that you have to a find a solution where the provinces will agree. If they don't agree, then the idea about a credible independent organization will only be seen as credible and independent from the federal government. The provinces will continue to put their resources into data collection and analysis into their own departments.