head to head
vs
Age of Empires IIIvsWarcraft III: Reign of Chaos
Age of Empires III leans Optimization (Mind & Math); Warcraft III: Reign of Chaos leans Optimization (Grand Arena).
Age of Empires IIIWarcraft III: Reign of Chaos
Axis by axis
Execution5 vs 7
Warcraft III: Reign of Chaos leans harder on execution: Micro of heroes and units decides fights
Reads6 vs 7
Warcraft III: Reign of Chaos leans harder on reads: Scouting and out-guessing a human opponent's tech
Variance4 vs 3
Age of Empires III leans harder on variance: Map spawns and shipment ordering unknowns
Optimization8 vs 8
Even - both lean on optimization about the same.
Two games can score the same on an axis and still test it in very different ways - read each rationale, not just the number.