Ya' know - I didn't read the post properly and assumed he meant the ball was then touched in the backcourt by a member of team A, when in fact all he said was that the ball was touched by a member of team A in the frontcourt on a throw in and he didn't go any further with the situation.
Obviously, sticking specifically to what the post asked, there could not even be a consideration of a backcourt violation until the ball was touched after it had been in the backcourt. In the situation posted, even if that happened, there would be no violation, which is what I originally answered.
I'm so mad at myself for not reading the post correctly, I could just kick myself.