The BENSON-GLEAVES class followed the SIMS class in being completed and delivered by about a year, but with an overlap in 1940. For some units, the Mk 37 director was also NOT installed at the time the builder delivered the destroyer to the USN. Particularly true for private yard builders. USN yard builders had the technical expertise to install these "new" fire control systems. For some units, the Mk 37 directors (a different Mod number than the SIMS class directors), were delivered and installed incomplete without the rangefinders (I'm not sure, but suspect other parts of the Mk 37 fire control system may well also, not been installed at that time). I'm not sure if the rangefinders were installed during the USN "fitting-out" process after commissioning or after shakedown.
As a side note; pre-WWII and during WWII, the USN yard built units were commissioned well before the destroyer was "completed". This way the yard could use crewmen to help in fitting out the ship. Private yard built units however, couldn't be delivered and then commissioned, until everything on the contract had been completed or at least noted as incomplete and needed to be accounted for (deducted from payments or arrangements to completion after shakedown).
I have quite a few "as delivered/commisioned" images, but I don't have many photos of these pre-WWII units "post-fitting out". Below is an exception (by accident). These images show USS MAYO as delivered from Bethlehem-Quincy on 18 September 1940, then at Norfolk Naval Operating Base (NOB) dated on 11 December 1940. In the delivery photo, she lacks the rangefinder, but three months afterwards (post fitting-out at BosNY) she has the rangefinder installed and she is ready for her shakedown.
One can build the 1940 BENSON kit "as delivered" or as "completed" after all equipment was installed and the ship was ready for service.