Not true, super Fool. The computer can ably beat the human brain at thousands of things, all at once. It outshines us in iterative methods and data collation, to name just 2.
As for "outside the box" thinking, that is by definition impossible for the computer. Its also tough for most people.
So what does it mean? Overall strategy, I know of no computer models that can match a human brain. However, tactics, and especially the micromanagement of same, the computer wins.
As it relates to AoE, the computer has the ability to respond nearly instantly to any "threat". If you thought dancing units were tough to hit, how about if they were impossible to hit? Since the computer knows where the shot will land, and the blast radius, it is a simple matter to just not be there. But how fun would it be if one computer-run horse archer could rip apart your entire civilization with impunity?
Keep your stick on the ice.