Can it be corrected administratively???

[billyu2]

This play actually happened this year: A couple minutes before halftime a held ball occurred. The arrow>Team A. A's endline throw-in by their own basket was kicked by B. The scorer asked the tableside trail if the arrow should be switched. The official incorrectly answered yes. The arrow was switched >B and noted in the scorebook. The other officials didn't realize the mistake at the time but during halftime they recognized the mistake. Before the 2nd half started the referee explained the error to both coaches and had the arrow reversed >A to start the half. Would you do the same thing as the referee or leave the arrow >B knowing full well the arrow was wrong?