Can't say it's something that bothers me much. Phrases like "traditional style" or "traditional idiom" are a useful shorthand for telling an audience who don't know you what to expect. Clarty Sough are a trad style trio with two writers so will have approaching 40% home made stuff in an average set, but we don't usually bother telling an audience what's home made and what's not unless it's particularly relevant.
We deliberately avoid the phrase "singer / songwriter" because that's become shorthand for a different style of performance and definitely not what we do.
Of the four comic songs I've written (out of dozens which aren't)two have done particularly well with local radio plays etc. so I've picked up a bit of a local reputation as a writer of comic songs, but what the hell it's better than people saying "Jim who?"
Of course the ideal is become so well known that you don't need a description.
All the best