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The ball maintains frontcourt status while in the air, and so, when the team A player, standing in backcourt is first to touch the ball, that player becomes the last to touch the ball while it has frontcourt status, and in the same instant, he/she is the first to touch the ball when it obtains backcourt status.
Additionally, if the player had allowed the ball to touch the floor in team A's backcourt, thus obtaining backcourt status before that player touched the ball, no violation would occur.
The difficulty in the logic is that the same instant of touching constitutes both a frontcourt and a backcourt status. Thus, that logic is seen as cumbersome, faulty, and difficult to explain to observers, especially coaches.
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