I'll grant that it is possible to play the same note sequences in different places on the uke (as on guitar and related instruments), and that there are different sustain, tonal, and percussive qualities that present, depending on the place you play.

Given that, I guess I'd have to see/hear what Artful Codger to be a "choppiness problem". You can eliminate the some of the choppiness thru fretting and fingering technque.

John King's Campanella technique yields some interesting results, but in some cases at least, the playing tends to get rather involved, and, for me, anyway, the appeal of the uke is that it makes things more simple,