Most operating lims require not only the test period but a letter to the FSDO telling them what you did. I don't know what the FSDO does with that notification.
This must be FSDO by FSDO, as none of the aircraft signed off by the Birmingham FDSO (that I'm aware of) require any sort of notification that the test period was completed.
The opinions and statements of this poster are largely based on facts and portray a possible version of the actual events.