In this case, regardless of other circumstances, you need to call the foul. A2 may or may not of fumbled the ball out of bounds but we'll never know since B1 bumped them. I would have a hard time penalizing A for "causing" the OOB in this case since B actually caused it. YMM.
As Snaq indicated, if B1 had that many fouls early in the second half then it's not on us to keep them in the game. They're supposed to do that by playing defense and not fouling. We've all seen great players on sub-par teams collect not only their share of the points but also of the fouls (since usually no one else on the team can play offense or defense). The NBA takes pains not to foul out the "stars" and than goodness none of us call for the NBA so we don't need to worry about that.
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