AP arrow. Flip it or not?

[justsumguy3]

Seems like this should be evident, but when diving into the rule book, I became more confused.

A gets the ball on an AP throw in. A then throws a cross-court pass that bounces once on the court and goes out of bounds opposite the throw in. Obviously we give B the ball at the original throw-in spot, but do we flip arrow to B?

Did the throw in end?

4-42-5b says the throw in ends when "the ball touches or is touched by another player out of bounds."

Does that mean the throw in ends then the ball touches out of bounds?
Does that mean the throw in ends when the ball touches a player out of bounds?