Most of the welders recently purchased new have precanned programs for pulsed spray transfer (and other modes of transfer). In actuality, there is no way for the inspector or welder to record the variables used while welding. The meters provided by the manufacture simply are not sophisticated enough to provide that type of information. Better yet, or worst yet for the fabricator, is the fact that using the information garnered from the welding machine simple does not provide sufficient information to use the same "set-up" with a machine that is a different model or different manufacturer.
I record the program number and the machine reading for the paperwork and to satisfy the person that has to review and approve the welding documentation. The truth of the matter is that the inspector needs to use an oscilloscope to record what is actually happening while the welder is depositing weld.
Based on the fact that you mentioned the procedures were qualified to the MIL-STD, I would put money on the fact that the machines used for pulsing back then have been replaced with newer machines. That being the case, there is little likelihood you can replicate the parameters used with the original machines because you don't know what they were then and most likely don't know what they are now.
The ammeter and voltmeter on the machine may show the average values, but they don't tell you the back ground current, the peak current, the pulse frequency, slope, or pulse duration. Clause 4.8(g) of TP248 requires requalification (level II) when either the amperage or voltage vary by 25%. How do you know? To make matters more interesting, some machines even vary the slope as the welding conditions change.
I tell my clients the procedure is qualified for the one model produced by that manufacturer. A change in the model or the manufacture requires a new procedure. End of story, end of never ending discussions no one can win without the oscilloscope. Even then, it is unusual for any of the major shipyards to agree to accept a procedure that was qualified and approved by a different shipyard.
Point of information; when you do submit your WPS/PQR, include all your material test reports, supporting laboratory test reports, and radiograph.
Good luck.
Best regards - Al