A good rule of thumb is to not rotate if there is an immediate shot, an immediate drive to the basket or if there is an immediate turnover or the ball changes status to the degree ( immediate skip pass )that it would be better to “back out” of the rotation. The theory is that if you complete the rotation in these circumstances you actually put your crew in a worse position to officiate the play rather than putting them in a better position to
Sometimes the turnover is not immediate, however. Below is a clip where the lead begins the rotation in a timely fashion and the ball is fumbled and for a short time it is not clear if there is going to be a turnover or not. In the situation below the play requires the lead to continue to come across the lane to help officiate the loose ball, (Go where you need to go to see what you need to see.) the center did not bail and continued to officiate the loose ball as well. Good officiating in my view by both these officials.
However, then the turnover materialized, leaving the old center, now new lead, official, “buried” deep on his side of the floor. The old trail and now new center recognizes the situation and gets on his horse and becomes the “temporary” new lead until the lead can get to the end line. It is a nice piece of crew officiating.
There is another way to handle this situation, The old lead who rotated can tell the old Center to stay center and he can go out back to the other side. Then the old trail can just become the new lead and the old center (new lead) would not have to kill himself trying to get to the base line.