Does your [1] link not simply prove my point that humans will search for something satisfying symmetric given a result that is less satisfying and less symmetric?

"Beauty is in the eye of the beholder" - but let me just quickly find an alternative representation of the solution that is much more symmetric and satisfying. There, "beautiful"!

Yes, but that "satisfying symmetric" (I'd say elegant since symmetry isn't required) is meaningful and finding these elegant solutions has been shown to be important for solving further problems. Math and physics aren't as concerned with the answer as they are with understanding