Well, I consider it a negative because it limits their pool of accepted. Where you have JHSPH bring in a cohort size and then distribute funding, the program head at Yale told me that it is in fact the opposite; determine the level of funding and then define size of cohort. I consider this a negative because my job would provide a good deal of the funding.
As for Emory, it is a very small program and quite unorganized. I thought that the professors were very receptive. However, from an application perspective, this is managed through the Laney grad school And they oversee a multitude of degrees. But then again, they are basically the admin side. It was not the best fit out of my programs, but I really would like to be beside the CDC and Emory Healthcare.