Many including myself, use once-fired brass for handloading.
Am I missing something here? If the OP (Hogan) is using "once-fired brass", he is, by definition,
reloading the brass.
I can (sort-of) understand that one might want to define the placement of powder and bullet in
virgin brass as "loading" as opposed to "reloading". However, I still venture that "reloading" is THE most useful and accurate term to describe how we create ammunition. Why? Very few members of this board would ever just load a cartridge case once then toss it. There is much more "reloading" going on than "loading" if "loading" is strictly defined as making ammo from virgin brass.
As to the term "handloading" -- I don't see how that term is any more illuminating or precise than "loading" or "reloading". In fact, you could argue that "Reloading" is a better term to use because that would include rounds loaded on a progressive press with a case-feeder and bullet feeder -- a process where cartridge components are not touched by human HANDs until the cartridges have been processed into completed ammunition.
To be honest, I'm really not sure what the OP's gripe really is... but maybe I'm dense.
"Reloading" is the most commonly used and accepted term.
I offer the following titles of popular books on the subject:
Berger Bullets Reloading Manual
Hornady Reloading Handbook
Lyman Reloading Handbook
Precision Shooting Reloading Guide
Metallic Cartridge Reloading
The ABCs of Reloading
Sierra Bullets Reloading Manual
Sierra Handgun Reloading Manual
Lee Precision Modern Reloading
Nosler Reloading Guide
Speer Reloading Manual
Reloading for Handgunners
Reloading for Shotgunners
AR-15 Ammunition Reloading
Reloading Guide for Pistols
Complete Reloading Guide
Barnes Bullets Reloading Manual
Gun Digest Book of Handgun Reloading
Glen Zediker did, by contrast, title his book "Handloading for Competition". But if you look at the sheer weight of numbers, "Reloading" NOT "handloading" is by far the preferred term for what we do when we assemble brass, bullets, powder and primers into live ammunition.