Five second responsibility

[River Ref]

In the leads primary is the 5 second count his respondsibility alone? I thought it to be a very good question in my test.
If as center,the play begins in my area and the count, then do not I have the count all the way to the basket?
As the lead,how could I begin a count that would not originate in my primary?
If the closely guarded started in my primary I would be all over it and would expect it to be my count alone.
The exact question was; The lead official is not responsible for 5-second closely guarded counts in his/her primary coverage area?
Can't find it in the book,but believe it would be a shared coverage area. Thanks..........River Ref