I wouldn’t put much stock in Bringuier, because he himself was an intelligence asset. The whole encounter with Oswald on the street, followed by the media coverage of the altercation and arrest, and the radio debate between Oswald and Bringuier was a classic setup. Someone wanted to establish Communist bona fides for Oswald, and what better way to do that than to have him involved in a public altercation with anti-Communists, followed by a media spectacle documenting just how much of a Communist Oswald was?
It only adds up if it was a set-up. Oswald had already tried and failed to join many Communist organizations, including the FPCC. Yet, all of a sudden, he is trying to join anti-Communist organizations? Then, he is handing out FPCC literature, from an organization that wanted nothing to do with him, but the literature has the address of an FBI agent stamped on it? The anti-Castro Cubans, the press, and the police all just happen to show up on the one afternoon that Oswald decides to hand out pro-Castro pamphlets?
Remember, this was during the heart of the Cold War, when it was not fashionable to be a Communist. At that time, there were probably more federal, state, and local informants who were members of Communist groups than actual Communists. So, when you see someone proclaiming very publicly that they are Communist, and staging a publicity stunt along with that, but they do nothing in their day to day lives that corresponds with the activities of real Communists, then it smells like a set up.