Indeed, I accept what you're saying. But is the Harmolodic aspect really more about the interaction and rhythmic displacement of the ensemble, rather than the triadic harmony basis of the individual lines or melody. The so called Harmolodic bands announced a difference from the previous Ornette bands. The whole approach and instrumentation is something else to the Science Fiction School Days era that proceeded it. And it's easier for 'straight heads' to approach that music accordingly (a pinnacle of creative music though it is).
The thing that changed from the 'classic' quartet and the expanded horn ensembles was that with the introduction of the guitars and double drums and bass the collapsing cacophony effect became more pronounced. It's more than the effect of just being a bit noisy. It's an ensemble sound that alienates before it reconstructs in your head as disparate melody/cry of Jazz-Blues integrity.
It's just as viable and confronting as Miles Agartha/Dark Magus period, although from another angle. The way this music cross-polinated with the No-Wave New-Wave Post-Punk scene (inauthentically actually), has done it a disservice historically I think.