on a fast break?

[refTN]

This is for a 3-man crew situation:

A1 shoots and misses and B1 rebounds and quickly takes it the other way.

I was told by a D-1 college official that the C has the responsibility to call everything from foul line extended on one end to foul line extended on the other end during a fast break, quick outlet, or pressing action.

A high school official told me in this case that it was the lead because he was in front of the play.

To me it makes more since for the C to take it because he supposed to run with the ball.

Who is right? Or are both right according to their respective levels?