Maybe this is putting the cart before the horse, but here's a thought...
The only time we honor a time-out request from the team who would not be in-bounding the ball after that time out, is when the ball is dead.
On a potential held ball situation (A1 and B2 gripping the ball simultaneously), the ball is not dead. If you honor the time-out request on a live ball, you're saying that team has player control (one exception notwithstanding). So, if you honor a time-out request from either side during a tie-up, you're saying that both players have player control, and the team that calls time out first would get the in-bounds after the time-out.
For this reason, I agree with BBR. I don't believe you can give Team B an opportunity to call time-out until they earn control, solely. (Is there such a thing as dual control?) I don't think you can honor team A's request during a tie-up, either. My knee-jerk reaction is to ignore any requests, and call the held ball.
(The aforementioned exception is when you mistakenly whistle a time-out when that team didn't have player control. In that case, you have to grant it, anyway.)
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