I agree that their units are unnecessarily exotic and detached from reality. But it would be a real shame to make everything stock standard like the Europeans. There were plenty of real out of the box weapons with unique functions that could be used instead of a clone of European cannons or straight up nonsense like Meteor Hammers that would be near impossible to use from horseback. It’s also not entirely true that Euro civs avoid stupid names. The royal house names are terrible and Euro-adjacent civs have stupid stuff like Soldado.
You can have your cake and eat it too with some eccentric Asian weapons that actually were used in battle.
China
Get rid of Song dynasty Flamethrowers and give China some troops armed with rocket pods. You wouldn’t even have to significantly change the function.
Replace Meteor Hammers with mule drawn War Carts.
Split up Hand Mortars into Hongyipao (cluvs) and Crouching Tiger Cannons (mortars).
Replace Disciples with Wolf Warriors.
Add some different infantry like Lang Xian and Three Eyes Gunners.
India
Making Siege Elephants actual siege mortars that are just transported by elephant.
Gajnal could be an elephant mounted Culverin.
The falc role could be covered by Turkish artillery like Darbzen or Mysorean Rocketeers.
Japan
Replace Morutaru with Ōdzutsu instead of a silly Samurai buff.