As noted, there are several essential variables associated with the filler metal. The PQR test assembly is welded with a particular filler metal that is assigned a F number. The resulting weld deposit will have a particular chemistry, which will fall into an A number grouping.
The WPS used for production can include any filler metal classification that has the same F number ( an essential variable) and provided the weld deposit chemistry falls into the same A number group (an other essential variable).
Now, the A number can be based on the A number as determined by the manufacture (when they qualified the filler metal) or on the actual deposit chemistry. Considering the F number for GTAW, FCAW, SAW, etc. for ferrous metals is grouped as F6, one must differentiate between the different filler metal classifications by the chemistry of the filler metal.
The filler metal specification will be the basic means of differentiating between the welding processes.
SFA 5.9 (F-6), ER316 (A-8) any filler metal classification meeting A-8 deposited chemistry is fair game.
SFA 5.18 (F-6), ER70S-3 (A-1) any filler metal classification meeting A-1 deposited chemistry is fair game.
However, while permissible by code, one would probably be more discriminate when selecting the filler metal to try to match the chemistry for improved corrosion resistance. If one was to weld a ASME SA240 type 304 with ER308, the chemistry is a better match than if one used ER316.
Best regards - Al