I've heard people calling this way to speak "fala de apresentador da Globo": which means "Globo's presenter way of speech"; Globo is Brazil's most popular TV network and its presenters have a clear way to speak that sounds very neutral and free from accents from one region or another.
I lived in Rondônia during the 90's. It was a very recent state and, at the time, people from all over the country went to live there to make good use of the new opportunities offered by a recent new state. So, the people living there were mostly from other places and there was a mix of accents which made it basically accent-free.
All forms of pronouncing "r" are very easy to me. And, to help people understand what I say and because I lived among very different accents, I speak in a very "neutral" way. People have once said I have a "fala de apresentador da Globo". But this way of speech is not uncommon in most developed regions neither among people who have to talk to people of different parts of the country.
Result of this: Brazilians can speak most of the romance languages and even other less phoneme rich languages from Asia or Europe without much difficulty. We even make fun of hispanophonic latin-americans because they can't say "cair no poço não posso".