UUMM, Well, I'm confused. No wonder you are.
So, if I am even close to understanding what you are asking, there is no need. But first, make sure you are referencing D1.1: 2015 so we are all looking at the same Tables and Figures and Text when we site a specific section.
Once your welders are qualified to D1.1, it does not matter what Group your steel is in for your WPS. They can weld any of the steel listed in Table 3.1. They can also weld any of the steels qualified by testing per Clause 4 that are not included in Table 3.1.
Table 4.8 has to do with qualifying materials per Clause 4 and has nothing to do with welder qualification.
The limits to needing to re-qualify your welders will be: a change in process (GMAW to SMAW for example), a change in F numbers in SMAW qualification, a change to a position not included in previous qualification testing, a change in base metal thickness if not previously qualified to unlimited, a change in vertical position (uphill to down or visa versa), a change in the use of backing (doing open root if backing was used for the test), or a change in the number of electrodes used.
No need to retest for a change in materials.
He Is In Control, Have a Great Day, Brent