Generally, it's reserved for forms treated as modes but not currently recognized as their own species such as MagnaAngemon's Battle and Priest Modes, Justimon's arm modes before they were made into their own subspecies or Shoutmon's king form from Hunters before that became a species.
in terms of "species" name for the justimons, I'm not sure if we'd use the "dub" names, it seems more like they were for the attack names, or the arms themselves rather than the "species", but I suppose the arms are the only thing different.
still, this is how it's written in hackers memory:
"By replacing the three plugs in its right shoulder which are located in the extend transmitter on its back, it can switch between a powerful Big Wave Arm, a electric Thunder Arm, and a cutting Cyclonic Arm" (using new dub arm names lol)
so yeah, it may be better to use the Japanese names for the justimon forms, with the dub names as the attack names? only time it seems to have been dubbed with the name as a species, is as "Justimon: Blitz Arm" in Digimon World Next Order. (which actually gives us the third Justimon name, actually).
I'm feeling like only Justimon (Blitz Arm) just have most of the info, rather than having three pages with duplicate info. have the other arms ever actually appeared in anything other than digimon heroes?
a digimon name in a section uses the name its from in that media, so for example, for Hououmon, digimon world will say "phoenixmon digivovles from ___", whilst cyber sleuth will say "hououmon digivolves from". the sections that say "baromon" he's named baromon in that media
I was just waiting for the DRB since it's pretty much guaranteed they'll be in there, meaning those new pics will likely be replaced for their smaller less HQ versions (hopefully we keep the big HQ version in the gallery. maybe put the concept art in there too)