I worked in Environmental Qualifications at the Trojan Nuclear Plant, Goble, Oregon, 1986 - 1993. Yes, all welding rods have to have quality related documents that follow them from manufacuring to when used in the field.
So sorry, but you are mistaken.
I’m a pipefitter/welder. I’ve worked in 3 nukes. If I needed rod I’d go to supplies and write a requisition for either so many sticks and type for tig welding, or so many pounds for stick welding. Return what I didn't use. But never any tracking of what I did use or dispose of.