I agree with the first half of this comment, but I don't follow you here: "Until there is an element of randomness fueled by context, they aren't creating anything new. That's where genius lies."
I suspect reframing of problems, seeing things in new light, paradigm shifts, new ontologies, whatever you want to call it are not quite so simple as context-dependent randomness! I don't think we understand this process very well right now.
Finally; I think there is an artfulness in copying existing patterns, because the way in which you "abduce"[1] an observation-explaining theory out of the infinite space of possibilities is a creative and aesthetic process.
I suspect reframing of problems, seeing things in new light, paradigm shifts, new ontologies, whatever you want to call it are not quite so simple as context-dependent randomness! I don't think we understand this process very well right now.
Finally; I think there is an artfulness in copying existing patterns, because the way in which you "abduce"[1] an observation-explaining theory out of the infinite space of possibilities is a creative and aesthetic process.
[1] https://en.wikipedia.org/wiki/Abductive_reasoning