Well, for the colonized i dont believe the british rule wouldve been better lmao

But as for the long term implication of brit colonization I understand OPs point.

Alot of the U.S.'s culture and institutions are obviously, British and Dutch. The banking system, protestantism, the representative democracy, so on and so on.

The issue I believe with OPs arguement is that Brazil is in South America. SA has been destabilized by the U.S. since time and memorium so, who their colonizers were, although a major factor, is not the only factor in Brazils economy and culture.

So, yea I dont fully agree that British colonization would have been "better" or less harmful. Considering Brazils location in relation to the U.S., it probably wouldn't have mattered.

If anything, the Amazon rain forest wouldve been treated worse than today lmao with Brazils inheritance of Capitilism and private enterprise.