Our DNA is NOT a trained deep net, nor is it a deep net period. Our DNA is a string of proteins which encode other proteins which gives the series of tasks needed to create and operate all the structures of the brain and body.
The "training" of our deep net happens during our lifetime. We are not born with a trained deep net so your analogy that somehow we are born with a highly capable deep-net encoded into 1.6GB of DNA makes no sense.
Can you imagine how capable a human being would be if it was born into a world with no other humans or learning sources? Imagine a new born baby born into a world with some accessible food/water close by so it wouldn't die from lack of nutrition or wild animals, but crucially without any other humans. It would be utterly fucking useless, no language/reading means no way of assimiliating new knowledge. That baby would end up being a totally incapable human, regardless of the DNA or structure of the brain.
As far as we currently understand, if infants aren't exposed to language and communication at a very young age, they are either incapable or severely stunted in terms of communication for the rest of their life.
My point is, that we are very much dependent on the learning that we get from the point of birth ONWARDS. We get the amazing capacity to learn from the structure of our brain and body, but we'd be absolutely incapable idiots without other people to teach us, our books, language etc. We understand "games" and game theory from playing games with other kids, we're not born with "game theory" encoded into our DNA as one other commenter seemed to think, the same for language learning, and everything else.
Anyway, the point of this whole debate was that it's incredibly impressive that humans can learn to play a game as complex as SC2 in a tiny fraction of the time it takes a cluster of GPUs using a huge amount of energy and resources. Not forgetting that we also have to use a physical body to control our actions in the game, which adds a whole other level of complexity since we have to understand how to manipulate a mouse/keyboard etc, whereas the AI is essentially acting directly with the game, like a human with a neural link. The other kicker, is that if you just changed one aspect, like picking a new map neither player had seen, the AI would be sent hurtling back to square one whereas the human would only be partially affected. These series of demos only make me more impressed that given the huge resources given to Google, they can just about beat a human and even then after 200 years of training time and various other artificial advantages.