I don’t think the public has come to realise that. If you don’t follow the history of, say, the Labour movement, it’s very easy not to know their role in strike breaking and all the other things they were up to. Most people will know them as the good guys (or neutral side characters) in some Western movies, and nothing else.
No need to rebrand if your brand is only tainted in one part of society, which would not hire you anyway in the first place.