What's even more impressive is that AlphaZero was just a way to test DeepMind's self-learning ability.
The Google team was essentially saying, "How about chess? Can it learn and master chess on its own? Hmm. Yes, it can. Okay, what's next?"
I don't expect to see any more games from AlphaZero, because it's already fulfilled its purpose (testing the AI). Now DeepMind will be probably be applied to other things. (Though, I hope I'm wrong on this, because I'd sure like to see more AlphaZero chess!)
The reason I ask is I read this explanation of how it works:
http://tim.hibal.org/blog/alpha-zero-how-and-why-it-works/
and I don't see anything where it says anything about evaluating a position any way other than by "what worked in the past"....