What do you mean by Trad Jazz? 1920's-style? Then, yes, very much so, at least in the United States. Tremendous overlap between 1920's jazz styles and old-time string-band music, jug-band, and some Cajun. Jug-band was conspicuously part of the folk revival over here. Real string-band and Cajun revivals were a bit later, but the string-band/jazz overlap has been in place for a long time.