I wouldn't go as far to say that college is AS important as the Canadian leagues, but it's gaining ground for sure. That said, that comparison is not valid to the one with UConn and the top HE schools. Just as the Yankee Conference thing makes absolutely no sense. It doesn't matter that UConn dominated the Yankee Conference in basketball 30 or 40 years ago.
Hockey recruiting is fundamentally different from all other college sports because of the presence of the Canadian leagues as a secondary, and often better option for US and Canadian players - leagues which are not governed by the NCAA, can pay players, can offer players to leave their college and come play there. It's going to be a lot easier to pry kids away from coming to UConn to go play in the Q and get to the pros until there is a well-established pipeline to the pros from Storrs. That exists currently at the places I noted, BU, BC, UNH, Maine, and to a lesser extent ND. Could it happen? Sure. But will UConn ever be consistently getting the Johnny Gaudreaus, Kevin Shattenkirks, and James van Riemsdyks to come to Storrs instead of BC, BU, and UNH? No.