Aesthetics should have nothing to do with science. Aesthetics is the reason we thought the Earth was at the center of the universe and everything outside the orbit of the moon was made of perfect spheres. It's why the Soviet Union pushed Lamarckian biology instead of Darwinism.
There are copious amounts of examples showing how Nature is attracted to symmetry(a form of beauty). Why wouldn't we use this is evidence as a heuristic?
You just gave a non-aesthetic reason to explore symmetry. I'm not saying we should only look at theories that are not beautiful, but instead we should not use that to evaluate if a theory is worth exploring.
To scholastic thinking it was the heliocentric view that was hubris, since it didn't place the Earth at the lowest level of creation where it belonged.
Don't neglect the fact that aesthetic sense is evolved. To the degree that our perception has connection with reality we'll probably find spheres beautiful because they manifest an elemental mathematical relation that is ubiquitous in nature.
Copernican theory made worse predictions than Ptolemaic theory, but it was simpler. Both explained the same facts.
The acceptance of heliocentricity was an aesthetic judgement, one which favored simplicity, and predated the work on elliptical orbits which gave the Copernican theory, thusly modified, equivalent predictive power.
This is not true. Copernican theory allowed the existences of moons around other planets and explained the phases of Venus when seen through a telescope. The Copernican model allowed things that the Aristotlean model did not and those things exist in the universe. The Aesthetics of having an Earth centered Universe prevented these truths from being quickly and easily accepted.
Also in the Tycho Brahe system Earth is at the center of the solar system but it is equivalent to the Copernican one, you can just change the coordinates.
And that was a complete mess if a system when you start considering moons orbiting around planets orbiting around the sun orbiting around the Earth. Not to mention anything outside our solar system.
