LODA List
The name of the individual on the LODA issued is for the "Responsible Person", or in plain language, the person who says they will ensure the terms specified in the LODA are followed. Keep in mind the LODA allows the AIRPLANE to be compensated for, and not the instructor...the instructor is already allowed to receive compensation for instructing. Thus, the name on the LODA is not necessarily the instructor, though this is typically the case.
As for the reasons certain folks are or are not on the list? "Modern" technology (like computer record keeping in the gov sector...insert laughter) now allows this to be tracked much better. Those whose LODAs were issued via pen and paper, or weren't entered into the system won't show up on the list. It's an initial list. So, if you've got a LODA and you want on the list, send a copy of the paperwork off to EAA or FAA and the folks will make it happen, I'm sure.
Question for those who care...
What would you consider necessary for one to be a "qualified" instructor in RVs (time, certificates,etc.)?