I guess my point is that you are treating fouls differently than other violations in this correctable error scenario. In most cases, the first dead ball after the error occurs will be the result of a violation. Say A shot the free throws in error, B then gets ball and misses a shot, A brings ball up court and travels. At this point the error is noted and the correction made. Free throws erased and ball to A. We do not give the ball to B just because a traveling violation occurred. So it is not clear to me why we shoot free throws then give ball to A when a foul occurs, rather than just giving ball to A as we would with any other violation.
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