[A Pennsylvania Coach]

Originally Posted by Snaqwells

Before Team B's timeout can be granted, the injured player must either be subbed for, or Team A must use a Timeout. B cannot be granted a timeout until one of these two things happens.

So if there was any question about whether the sub for the injured person became a player, and therefore the injured player became bench personnel, the granting of the Team B timeout request implies that the substitution had been completed. So the injured player is staying out until the clock runs.