Couldn’t what we find beautiful be emergent from where we find ourselves to begin with? It seems extremely arbitrary to try to define what’s beautiful about any star system.
The puddle looked at itself and its surroundings. The puddle saw that it had a very peculiar and specific shape, and yet its surroundings matched it perfectly. "It's amazing that the world is shaped just right and fits me perfectly" thinks the puddle.
I would argue that any kind of aliens will see our Solar system as beautiful because everything is regularly spaced, a great variety of all kinds of planets and moons, planetary rings, etc.
We take all that for granted, but it really isn't. Many of other solar systems we know contain an irregular set of planets.
The spacing of the planets isn't due to random chance. They are all in orbits defined by resonances with the other planets, as they effect gravitational drag on each other. They have pushed and pulled on each other for billions of years, until they have settled into the ordered structure we see today. https://en.wikipedia.org/wiki/Orbital_resonance
It could also be well possible that this sort of stability is required for multi-billion year evolutionary processes to take place. Systems with more chaos would likely also have chaotic seasons even if their planets were to have the other needed conditions for live. If the summer-winter cycle were more unpredictable that it is on earth, maybe that acts as a limit on the complexity that live can achieve as it would constantly be getting pruned back.
Systems with "unstable" or "irregular" planetary arrangements are probably just in an earlier stage of development, and might likely lose planets or push them into more stable orbits eventually.
Similarly "stable" or "ordered" systems are likely just older systems which have been able to develop without being disrupted by outside phenomena. In that sense looking for well structured systems might be a good place to start looking for life, as they are likely old and stable enough to have had evolution take place.
I suppose what I’m wondering is if those features would matter at all to other species. They’re highly salient to us from micro to universal scales, but other species might not even have a sort of mental construct for that notion to begin with. Perhaps it’s possible to be advanced and still have that kind of detail be present and visible yet not interesting or beautiful.
