head to head
vs
Age of Empires IIIvsDota 2
Age of Empires III leans Optimization (Mind & Math); Dota 2 leans Optimization (Grand Arena).
Age of Empires IIIDota 2
Axis by axis
Execution5 vs 6
Dota 2 leans harder on execution: Last-hits and spell timing demand precision.
Reads6 vs 8
Dota 2 leans harder on reads: Drafts and ganks revolve around adaptive opponents.
Variance4 vs 4
Even - both lean on variance about the same.
Optimization8 vs 9
Dota 2 leans harder on optimization: Item builds, timings, and lane theory are deep.
Two games can score the same on an axis and still test it in very different ways - read each rationale, not just the number.