UConn would only need to do that if they were going to do an arrangement like the Mullins Center in Amherst (read: attempt to house basketball AND hockey in the same arena) on account of the pressure it puts on the facility to meet the needs of the teams for practice time (needs that, because of the time it takes to do tear downs and re-sets between hoops and hockey, are largely incompatible).
Well, that's not exactly true because UConn is already attempting to manage four teams at Frietas (men's hockey, women's hockey, EO Smith/Tolland/Windham co-op, and the Northeast Icedogs youth program), and it may actually be in their best interest to keep the secondary rink attached so that the youth programs don't get screwed on ice time.
I don't know how BC manages it because I've never been to Conte (whereas I have been to Mullins, and its secondary rink is quite obvious); they do have a dedicated volleyball gym, however, which removes some of the pressure.