This is a typical discussion when trying to decypher a WPS written to meet ASME Section IX and applying it to a construction code such as B31.3 or Section VIII.
You can write a WPS that meets Section IX, but not the applicable construction code. You can write a WPS that meets both the construction code and Section IX that still doesn't meet the practical needs of the welder.
Case in point: The procedure is qualified using an austenitic stainless 304 alloy using a 308 filler metal. Now the user wants to weld a 316 alloy, does he use a 308 filler metal because it was used when qualifying the WPS or does he use a 316 alloy filler metal?
ASME isn't going to answer the question. You will have to search literature from other sources because ASME doesn't tell you "how to do anything". I'm not saying that is a bad thing or a good thing, it is simply the ASME approach to welding as well as other "how to questions".
Many of the answers to welding related issues can be found in literature available from AWS. Many of the individuals that sit on the AWS committees also sit on ASME committees.
Best regards - Al