Have you ever tried to transcribe anything? It's crazy how much garbage comes out with the actual words that form the sentences. Many amazing writers (not to mention linguists) have made their careers developing new written languages to attempt to get a little closer to capturing it, but capturing it is both impossible and an exercise in art, not a sane journalistic practice.

You may not think so, but it's how most "quotes" you read in newspapers and magazines work.

Who reads newspapers or magazines anymore... certainly not me. I expect a quote to be exactly what was said... if someone is correcting the speaker then it's not a quote but a paraphrase. I don't care what the journalist calls it, it's not a quote to me if it isn't exactly what was said.