Though Boston is closer and many alumni are in the area, I feel like UConn has chosen to stick with branding itself as "New York"
During realignment, there was much more value with UConn being in NYC's market than in Boston's.
Boston clearly has BC as the university of the city (even though no one in Boston gives a shhh iii ttt about BC, having lived in Boston) it's tough to see UConn as a real player.
NYC doesn't have the type of name brand association with a college & city. Therefore, it makes sense for UConn to keep branding itself as "New York City's Team"