Wrong way lineup at tip

[Shades of Gray]

Varsity girls game tonite. At opening tip teams are lined up facing the wrong way. Visitors get tip and go down and miss layup. Home team rebounds and visitors retreat to other end. At that point, home fans start screaming at their team they were lined up the wrong way and encourage them to shoot at the basket the visitors missed at. After about 4-5 seconds ( while standing in the lane), the home team player shoots and makes a layup at that basket totally uncontested. The refs then realize what happened and blow the whistle and stop the game.

They confer and allow the basket to count for the home team and give the visitors the ball under that basket and correct which goal they are shooting at. My thought was the goal should have counted for the visitors since this was the basket they were positioned to shoot at on the tip. Can some of you experts advise as to the correct ruling?

By the way, the boys game later went into overtime and the officials lined the teams up the wrong way for the overtime period. Wow.