AWS D1.1 applies to structural steel. The Owner or the Engineer can reference AWS for any application where they believe AWS D1.1 would serve their purpose.
In this case, the base metal in question is not prequalified, but there is nothing in the code that says it cannot be used provided the WPS is qualified to demonstrate the welder joint will perform as intended. Notice I did not say the welded joints have to be as strong as the base metal. I didn't include any such qualifiers because the Engineer has the freedom to modify the code to suit their needs. The Engineer can impose acceptance criteria that is more stringent or less stringent than that contained in D1.1. The Engineer can even waive the requirement that the WPS or the welder be qualified in accordance wih D1.1. He might decide that as long as the welded joint doesn't fall apart when dropped from 4 feet, too high, let's make that 3 feet, oops, still too high, let's make that 6 inches, it is good enough or the intnded service.
Now that is out of the way, the Engineer should provide the contractor with a Project Specification that lists any and all changes to the rquirements of D1.1, including the use of an unlisted base metal, so everyone is aware of the ground rules.
Lots of luck.
Best regards - Al