I am not a BC fan; but, I disagree to a certain level.
No matter UConn's fate, BC will also have Boston (remember some locals in Boston don't think life exists outside of I-495) and been seen as the alternate major Catholic college sports brand after ND.
UConn joining the XII (or B1G) would have a greater impact on Syracuse. While Syracuse has more football 'history' than UConn, has more basketball titles while proving to be successful on the court after the school's HoF coach retires, and UConn is 100 miles closer to Times Square than Syracuse regardless of what Syracuse's marketing says. UConn playing Texas in MetLife (Rutgers playing Ohio State and Michigan in Jersey is not helping the Orange either) and Oklahoma and Kansas at MSG takes away NYC away from Syracuse and without NYC, Syracuse is nothing.
Allowing UConn to join the XII also makes it a 3 way fight for the country's largest and most important TV market between the ACC (Syracuse & ND primarily), B1G (Rutgers & Penn St), and the XII (UConn). Both the ACC and B1G have stated that their goal is to won the NYC market. I can't see how they take the potential entry of the XII into NYC laying down.