For D&D, a sixsome of abilities comes with two persistent problems − they are unequal in usefulness − they are ambiguous.
For the AGE system, the sixsome improves by being unambiguous, yet remains unequal in usefulness. AGE too can improve further by combining Cunning and Perception, handling magic mentally, and thereby feature the salient foursome.
"Pulling a teammate up is a Strength check, but pulling yourself up is a Dexterity check relating to movement and agility."
To me, the above is the opposite of "elegant".
Thst said, "unequal in usefulness" is in the eye of the challenges. There is no set of abilities which won't have this " problem". - as long as they have any meaningful differences beyond fluff.
If you want equality in usefulness, have the ability scores provide the same effects just with different flavors - I use Int vs stuck door by using the moss aad urine to make a lube.