Another way of saying the same thing is that how you play the notes is more important to a distinctive style than the notes themselves. To a point, I agree. Fluidity comes mainly from the strumming/plucking hand (assuming the fingering hand can keep up, of course) and fluidity (or, I suppose, a lack of fluidity) is almost synonymous with style. But the choice of notes and voicings contribute too. Purely chordal? Are the chords played in open position or closed position of many notes or with many inversions and only using selected notes of the chords? Scalar? Riff-based? Chord voicings mixed with scalar elements?
At the end of the day, the distinctiveness of the style and which hand contributes most to it is likely dependent upon what the style is. (This is in contrast to my earlier post where I indicated that the dominant hand is most important in establishing a coherent rhythm. So, you need the dominant hand to establish rhythm, which contributes to distinctive style, but this may or may not be the dominant force in establishing distinctiveness of overall style.)
Take punk or reggae as examples. In general, the note choices in punk are much more limited than in many other genres of music (I say this not to denegrate the genre, but it's pretty clear that you don't have many folks playing punk who know six or seven different voicings of a Major 7th chord up and down the neck - come to think of it, you likely don't have Major 7ths chord in punk). So, the strumming hand becomes most important because what the fingering hand is doing is fairly limited. Thus for punk, the dominant hand would contribute most to distinctiveness of style.
Reggae is more sophisticated than most punk, but not overly so. It's a beat-driven music based most often on relatively simple arrangements with many fairly standard chord voicings. Again, the right hand contributes more to style because the left hand isn't generally doing "ground-breaking" things. Again, not to denegrate (I spent many nights sweating at the L & G club in New London, CT to great national and international reggae acts).
Now consider Prog - Steve Howe of Yes and Robert Fripp of King Crimson, for example. Their right-hand technique isn't vastly different, but their note choices and chord voicings are quite dissimilar. I would argue that the non-dominant hand, their left hands, contribute more to their individual distinctiveness of style than do their right hands.