It's in mods where it would be a great benefit.
If I pre-designate a list to reflect the naming of TEC ships after famous Terran ones like "Enterprise", "Constitution", etc.,Vasari ones to have distinctly alien names like "Gr'Shohk", "Snarlnth", etc. and Advent to be "Mountain of Holiness", "Ascended Prophet"....then they all come out a bit off when they get randomly mixed.
If you have a themed mod with distinct backstory or rationales for name this matter and it's true for the Militia factions too.
There already are galaxy map options for "inGameName" and "overideRace" but they don't seem to work as intended. Perhaps these could be actually fixed?