Can quantum randomness account for observable discrepancy in the universe?
Your sample size is too small. I think if we could zoom out far enough looking at the CMB, we'd begin to see patterns emerge. And if we could model the entire existence of the universe, we would find the catch-22 of everything being exactly where it should be because of where everything was.
Given that all spherical objects are symmetrical and that 'the circle' is the most common shape in the universe, the question of why geometry has to do with the certainty of the different, but specific, lattices that will form from given atoms, because the shape of something at the molecular level is often the same at the visual level. It's turtles all the way down.
Now, if you ask why different atoms form specific geometries, that might not be exactly where the limit between quantum behavior and classical behavior is, but it's certainly the limit of my understanding.
In classical mechanics, "The ‘randomness’ stems from ignorance of physical information in the initial toss or throw." - which is why I mention modeling the universe in its entirety.
"In diametrical contrast, in the case of quantum physics, the theorems [...] indicate that quantum randomness does not stem from any such physical information." - which is the stop where I get off....
– Quantum indeterminacy