It was me who changed it to Vesi, many moons ago.
From Wikipedia:
"Visigoths" did not come about until good ol'
Cassiodorus came up with the term
Visigothi as a complement to
Ostrogothi, thinking it meant "west Goths" and "east Goths". It's funny you should use that particular combination, Cèsar, because Cassiodorus used the exact opposite one - "Gothi" for the Ostrogoths and "Visigothi" for the Gallo-Spanish Goths.
Among other names for the Visigoths are Visigothi, Wisigothi, Vesi, Visi, Wesi, and Wisi, all of these coming from Latin. Keep in mind that, while also having a Latin meaning,
Wesi or
Wisi means "good", while
Ostrogothi means "Goths of the rising sun", and just know that if it were in my power to have Japanese Goths come from that, I would totally do it.
I'm just saying, in the Middle Ages, from the Xth Century onwards, I've always seen the Visigoths referred to as Goths, and the Spanish March the Franks established in the Pyrinees, Navarra, Aragon and Catalonia was called the
March of Gothia precisely because it was ruled mostly by local Visigothic lordlings.
On the other hand, Tervings and Greutungs are mostly the names of the ruling clans in these two branches. Which, to be honest, we know very little about before their contact with the Romans. The study of Germanic peoples nowadays has come to a sort of halt in academic circles due to the latest theories about limes permeability, frontier culture and the impossibility to know if what was traditionally considered "Germanic customs" don't actually come from Rome in their majority. Goths, the Goths of Alaric, in the end, were probably a conglomerate of Roman veterans, ethnic Goths, Alans, Huns and a buttload of other nations under the leadership of Alaric.
But I digress
As for Spanishifying (ack, demonyms!) the language, while it is in good spirit, it's also best to keep in mind that the Spanish culture - and language - have not come about the same way they did IRL.
I know Spanish doesn't exist in LI, but since the Visigoths have romanised heavily and languages like Romance Astur-Leonese and Catalan have a very thick Germanic layer brought on mostly by Goths and Franks, it makes sense that these Vesi speak something resembling Asturian, Aragonese or even Occitan (although Occitan is much closer to Late Latin in many ways than other Spanish languages).
I mean, it's still the year 1066. It bugs me a bit that the Romans are dressed up like Augustus was still kicking (I'd appreciate a more Late Roman, Belisarian-Justinian look if anything; I'll make a post someday to see if this can be adressed, because it breaks the mirror of incredulity in a game otherwise very wisely built around plausible outcomes in an implausible scenario), but things like vernacular Latin languages should have already appeared and solidify. If Catalan is in the game (which, also, is very weird considering the surroundings of the place, I'd even suggest either changing it to something more archaic or merging it with Occitan all the way), then the Visigoths should speak some form of Leonese or Aragonese, especially the Romano-Goths, which despite being more romanised would have hardly kept Latin pure. But that's the catch with the Romano-Somethings, I get that
When I devised most of the names of duchies and kingdoms in Lux Invicta's Spain (or Yspania, as I proposed, following Isidore of Seville's writing), I did so in the spirit of "Well, it's been 500 years since these Goths settled here, they can't be still speaking Gothic, which they didn't speak widely even when they first settled in Spain, so let's go for some Spanish language and keep the sonority of it while using Late Roman terminology.
***
After all that, yes, it's a tricky thing how to call the Vesi or Goths or Wisigoths, but while Visigoths and Romano-Goths was a bit dull but satisfactory, Gothi and Vesi doesn't fit the grammar of sentences ingame, or the sound of what these Goths are supposed to speak... but if no one can find better alternatives (and I think I can't), oh well. Vesi and Gothi is it.