Barney plays within his limitations and that makes him exciting.
It's important to note that there are plenty of musicians out there who would say that Barney, Hooky and Steve overplay because they use more than rudimentary chord shapes/melodic progressions. In reality technique is an asset in any artistic field, because without a practised hand ones creativity can be limited by lack of ability, B.B. King is a fabulous guitarist, has been known to indulge in a solo and has as much passion and soul as any rock musician.
There is of course a limit at which point technique for its own sake replaces artistic expression of 'the soul' (for lack of a more specific term) and I believe that you can find that in the form of the likes of Vai and Satriani, whose 'songs' are really just showcases for their technical proficiency. In rock, soloing as employed by the likes of Van Halen and Guns N Roses though the technical side and the soloing is not simply soulless note-spewing. The song remains in place, but the solo is added as a form of flavouring for the song and is sometimes even a highlight (Sweet Child O Mine and Jump spring immediately to mind).
Let's not kid ourselves that the punk/post-punk antipathy toward technique was motivated entirely by a sense of 'heart'. Some of the loudest voices in that particular campaign were the voices of people who simply couldn't play, and thus dismissed anybody who could. Barney's playing style (especially in JD) is actually atypical of the era, in that parts of his work actually resemble solos, and so he does not fit the punk/post-punk archetype: He's too good!
All art requires some semblance of technique. The ceiling of the Sistine Chapel is one enormous technical flourish, yet it remains one of the masterpieces of human artistic achievement. Likewise, do you think that any old cunt who picked up a chisel could then have sculpted Michelangelo's David? Beethoven was a piano virtuoso and his work is staggeringly technical, but the emotion contained therein is unparalleled by anything being released today. That's not to say that guitar soloing is on that level, obviously! However, to assume that the demonstration of technical ability must be inherently lacking in 'heart and soul' is naive and simply a by-product of propaganda.