No. Just the AWS classification and specification numbers, such as AWS A5.20 and E71T-8. A listing like this would cover wires from Lincoln (NR 232) and ESAB (Coreshield-8)
Correct. But Table 4.6 only applies to procedure qualification, not welder qualification, and it only applies when Charpy V-Notch (CVN) testing of the base metal is required.