Brazil was too during the Iberian union.
Latin epics were being written in Brazil already in the 1500's: en.wikipedia.org/wiki/De_Gestis_Mendi_de_Saa.
Brazil had Baroque poets, architects and composers, and neoclassical Arcadian academies (similar to the ones in Italy). We built two opera houses in the middle of the Amazonian jungle, one in Belém and another in Manaus (where there's still an opera festival every year).
In fact, Brazil was simply a part of Portugal. Same for the rest of LatAm and Spain. Anyone who's well-read in the literary traditions of these regions will be able to tell you so. Homer was translated here before he was ever translated in Portugal.
So your post is correct.
I can read Latin, by the way. Read Satyricon, then look at Brazil. Look at Naples, then look at Buenos Aires. There are differences, of course, but they're all noticeably part of the same cultural realm, specifically the Latin world of Southern Europe. Which is not the world of the Anglos at all, even though they think they're "Romans" too (I mean, they are, but less).
Why do you think Italians adapted so well into BR culture, to the point that you will only know a Brazilian is an Italian descendant if he tells you so? It's not that we made an effort to stop being Italian, it's just that the cultures are actually very similar.
Depending on the country, the African and Amerindian influence may be felt more or less intensely, but even in those areas the whole administrative apparatus, the laws, the basic morality and much of the culture itself is very clearly Roman (mostly Iberian, which is part of Rome). The exception are the truly African places, which really do feel too different, like the ghettos in America.
I traveled the Amazon river by boat and something very noticeable is that even the smallest villages -- with not more than 10, 20 houses, in which every dweller is nearly 100% Amerindian genetically -- have a church as its most prominent building.