A human has ~200ms simple reaction time, then begins to move their fingers. Which then moves a mouse to target an area, which then requires hotkeys to be pushed. etc. etc.
Its still definitely a mechanical advantage, and it seems evident in the gameplay videos. The bots still seem "super-human" in their aim and some of the timing of spells.
What was interesting to me was that since the bots trained against themselves, they discarded this combo as being ineffective - the result being that they did not use this combo even against vulnerable human players.
This means that Dota 2 was balanced around the expectation that human's best reaction would be at least 400ms, because I've never seen Axe's blink calls being dodged unless the player had vision of Axe before the blink and thus was expecting it.