[Chaos]

There is one possible Trait I can see making STR more useful for basic attacks:

Brute Force (Requires 25~30 STR)
If the attacker's Scaled STR exceeds the target's Armor, their basic attack gains +(Scaled STR - Target's Armor) Power, to a maximum of their Weapon Power.

For someone actually building up POWER and not just going for the weapon that scales off a defensive/SKI stat, this would give Armor some meaning and make Basic Attacks a little better.