First, Lawless should have thrown the ball to the pitcher. He'll learn.
My understanding (I used to be a catcher) ... the batter has to make an effort to get away from the play at the plate. The batter is doing this. So, if the thrown ball hits the batter or his bat, then it is not interference and the ball is alive and in play.
However, if the batter were not making an effort, and either he gets in the way of the pitcher or catcher, or the ball hits the batter or the bat, then this is batter interference. Batter is out, runner returns to third.
Again, that's my best understanding. Maybe someone with umping experience can correct me if I'm wrong.