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I think Hingham would lose to both U-16 and U-18 BA teams. In fact I don't think it would even be close. The full season teams are made up of kids who know the game and specialize in hockey, are plus skaters and can move the puck effectively.
The coaches of the few kids taken for Hockey East schools will still send them out to the Midwest. USPHL will have a few D-I kids (Kings, Hitmen...) but it will still be a D-3 college league for the foreseeable future.