BC sees ND as a rival. ND views BC as an annoying little sister that it uses to increase its brand awareness in the Northeast. After all, if it was a rival, BC would play ND at Alumni stadium, not at Fenway with BC as the away team. Cuse may now see BC as a rival only because the Fruit lost its more natural rivals in Rutgers and to a lesser degree UConn due to conference realignment. VT sees BC as a rival? Sure, right after UVA (Commonwealth Cup), West Virginia (Black Diamond Cup), Tennessee (they are playing a game at a NASCAR venue after all), Miami, most of the SEC , etc.; but I do believe that V Tech sees BC as more of a rival than Wake Forest, so you have that.
A UConn/BC game will stroke the flame of anger for the only 2 established FBS teams in New England (nothing personal UMass; but, if UMass is still FBS in 10 years, I will be happy and amazed) that gets attention and fans to show-up. Plus, it’s an easy 2/3 hour drive from most of CT. It will not fill Gillette; but, it will draw more people than BC’s games against UMass, Maine and just about everyone from the ACC outside of Florida St, Miami, Syracuse, and maybe Pitt.