BOSTON — Win or lose, Saturday night’s wild game between No. 3 UConn and No. 7 BYU at TD Garden in Boston was always going to be the AJ Dybantsa Game.

Without him, the game wouldn’t have been scheduled. The teams wouldn’t have met unless it was in the NCAA Tournament next spring. And the Cougars never would have run the parquet floor beneath the Boston Celtics’ 17 NBA championship banners 40 minutes from his home in Brockton, Massachusetts.

And win or lose, the game Dybantsa made possible was going to help BYU’s seeding in the NCAA Tournament next spring by boosting its strength of schedule.

It is, after all, the first time a top-10 BYU team played another top-10 opponent since the height of Jimmermania in 2011.

TD Garden had one open date for a college game, an organizer said. BYU and

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