I really don't see why you would change them. How would that make it better by using bland generic descriptions? Is someone getting offended or triggered by the eurocentric perspective?
Nor do I really see how the suggestions Pineapple mention above would make anything better. They are all very eurocentric views, words and concepts that are being used to describe something. So instead of being somewhat specific, something that more or less everyone should know or can identify they instead become bland and generic. Helping nobody. It's not like it's breaking immersion in this game, certainly not when wonders of the world go all over the place -- I just don't recall the Great Pyramid of Washington DC ever being a thing etc.
I don't really know why Tercio was picked as an example, perhaps they where the best of its kind or was it the first or the one that everybody across Europe (once again) copied? What are Chinese Tercios? Are there Chinese Pike-N-Shots? No? Then changing the name has not resolved anything here really. It's one Eurocentric concept exchanged for another one.
A lot of nations used something similar to the Tercio but by another name and it wasn't pike-n-shot either. But it really doesn't matter. It's fancy pikemen if you will. With that in mind Tercio will do just fine as it is. Or are the Tercio units getting a ranged attack to when you change the name to pike-n-shot? So they are now becoming more like the Impi (they have a promotion that offers something like a shot effect before attack don't they?). Otherwise the shot part is a bit misleading.
I can understand that some of them would be or are unique or might be better as a world wonder (THE Circus Maximus for sure). But to go from Circus Maximus to Racetrack is a serious downgrade, also factually wrong since it was mainly chariot racing and not the sort of racetracks we have or think of today. But it goes from a national wonder to something found in every other town or so. Massive downgrade in that regard.
Research institute is also very bland, just call it National University or something then, most countries do have one like premiere university. It's either considered the best or it was the first or whatever. But it was, if they are old, rarely a place of research. Most of the old once are usually places for education (theological education being very common) to educate the elite, the administration and or the clergy. Not a lot of research going on there.
East India Company, please tell me it's not someone being upset about slavery. It was a thing. No point in trying to gloss that over. Just see if for what it is. It was a highly successful venture at it's time, perhaps despicable by modern eyes but still it doesn't really change anything.
If you find it weird that say Harun builds the Circus Maximus doesn't it also then feel weird that he builds the Stonehenge or the Great Pyramid of Giza? That they cropped the names of a lot of wonders shouldn't fool you. Most of them are very eurocentric or centered around the Mediterranean sea, almost all of them should really have an "... of SomeCity" attached to them. More or less all the ancient wonders in the game have a city or something such attached to them, or should have as it is clear what they are referring to and shouldn't be second guessed in that regard. Or is it that civilizations that died out a long time ago, or basically are insignificant in our modern world, are somehow given a second chance of make-believe? Consider if for it it is, fantasy and place holders. They might not have built the Circus Maximus but they probably built some great place of spectacle and show if they could.