Jimmy was untouched by musical strands outside Scotland, so you won't find any Zydeco influences, or references to non-Scottish musical strands such as Country. Nor will you find any rhythmic subtleties coming from a cross-fertilisation with the Blues. However, his dance-oriented music draws on a vast knowledge of Celtic music traditions, and he was a total master of his chosen instrument, the Accordion. He is outside the mainstream folk tradition, but anyone interested in Scottish (and Irish?) traditional music will need to touch base with Jimmy's vast output. (As a Sassenach, I'll now leave it to his countrymen to make a stronger case for him).
Thanks to last.fm, I stumbled across Richard Thompson's "Don't sit on my Jimmy Shands", which is an amiable tribute to the great Jimmy. It's worth tracking down, and is evidence that serious folk artists recognise that Jimmy was excellent in his unfashionable way. Does Jimmy deserve some more public re-evaluation?
Takes me back. The very first LP record I wanted to buy was Bill Haley's Rock Around the Clock - but assorted disapproving aunts and grandmothers decided that was too uncouth. So, record token in hand, I searched around and ended up with a Jimmy Shand LP. Don't ask me how it happened! Actually, Jimmy is good in his particular niche. Nice to be reminded of him.