Strategy is limited by available tactics, and the ability to execute them. Your (human) tactics and strategy would necessarily change if you and your opponent were required to use a mouse that can only move across the screen over the course of a couple seconds, or if you could only click once per second, or if the computer added noise to when/where your mouse click arrives.

Strategy and tactics are a function of constraints. If an unconstrained computer can beat a constrained human, have we really shown that its strategy and tactics are better? To do that, you'd have them to play under the same constraints. Or at least have the constrains be close enough, which is what people are debating.