If I read between the lines correctly, I'm skeptical that students majoring in sports backoffice do any work at all in the school's own sports programs. Like maybe some interships? Access to some people for research and writing? I'm thinking: not enough to justify keeping them linked, and even so, the teams/sports would still be in the area. My point is that as far as the school is concerned, the potential for any overlap at all is slight. This is proven by the success of backoffice programs at schools with uncompetitive teams.