We like compression. That's our main requirement. We may not like hard coded constants in our physical theories but thats only because we'd prefer a single constant that uncompresses to all six. Or a single law about laws that uncompresses to the entire theory. Constructor theory [1]

We also like symmetry but symmetry is just a way to identify attack surfaces for compression.

[1] https://www.edge.org/conversation/david_deutsch-constructor-...