last to touch - first to touch

[Hugh Refner]

Tell the D2 evaluator to go back to working driveway basketball. Under NF rules, team control ends when there is a shot, a dead ball or the other team gains control. Team B would have only gained team control if one of their players gained player control. Player control is defined as holding or dribbling a live ball inbounds. B1 did neither, so no player control, therefore no team control for team B, therefore no loss of team control for team A.

You are not the clueless one here. You did not kick it. Of course, if B1 would have kicked it, it's a dead ball.