I personally do not see the big deal. People constantly borrow names and words for in game use from real world history or languages. They do not always line up perfectly but that really does not matter. How many character names are really from the medieval period of western Europe? Heck, look at region names! Many of them do not invoke a medieval European feel in my opinion. I am not expert in history though...
This game involves collaboratively creating a world that has a medieval feel. Few of us are experts in history and even if we all were there would still be disagreements about what fits and what doesn’t. As long as a name or use of language does not come off as too outlandish, I think we should really remain flexible.
People do not, however, commonly borrow adjectives that relate to specific places and time periods in Earth history, and for a very good reason.
There was no Florence, Italy in BattleMaster, because there was no Italy, and no Europe. Therefore, describing something as "like Florence" (which is what Florentine means) is utterly meaningless IC.
