If I corrected this statement to read - if either team commits any kind of foul before the throw in --- would I be wrong?

Assuming you mean before the throw-in STARTS, you would still be correct.

I don't think there could be a common foul in this situation (at least not in practice), so it would be an IP or a FP or a T

Are you talking before the throw in starts or ends?. Like Bob said, you have two different scenarios.

First
*Prior to the game, team A is assessed a technical foul. While the ball is at the disposal of the free thrower B-1, B2 commits an unsporting act against A2. This is a false multiple technical foul. B would shoot both FT's lane cleared, A would shoot both FT's lane cleared then get the ball OOB at division line opposite. The arrow is then set toward B's basket.

Another: TF to start the game against A. B shoots and then has ball at disposal for throw in but before the throw in ends, if either team fouls at this point the possession arrow stays with B. Is that what you were getting at? 6-4-5

Guess I should have been more specific - yes, I meant before it starts.