I think the word you are looking for is symetry, not elegance.
Symetry does not automatically mean elegance. Also your proposed row of numbers is broken up as soon as you even begin to create your character.
So the other guys moment is less symetrical for a brief moment during character creation.
To make a big deal about having a symetrical character sheet before you start putting points in it is really autistic, and no sensible definition of elegant game design.