Also, in terms of skinning a sword or a scimitar as a katana or whatever; truth be told, it's just a title. The name is really meaningless in comparison to the weapon's function and design.
If it's important to you. Tell your DM that you want to re-skin scimitars as katanas (or whatever), and tell them that you'd appreciate it if they referred to scimitars found thought the game as katanas.
Even the term "katana" itself doesn't have the meaning that most people believe it does.
It's a Japanese pronunciation of a Spanish word used to describe Japanese swords.
"Katana" actually just means "curved sword".
It's just a blanket term that modern antiques collectors use to describe an enormous family of diverse curved Japanese swords. No samurai ever called his sword a katana. The term wasn't even created until at least a century after the heyday of feudal japan.
I think the names "daito" and "tatchi" are more accurate terms that were actually used by the men who forged and wielded them.
TL;DR
Don't get hung up on the terms.
No actual samurai ever used the word "Katana"
