But the point I was making is precisely that the "general learning" tech is in fact somewhat general. AlphaGo and certainly AlphaZero's learning tech generalises to Go, chess, and a few other games. That's relatively general in the domain of board games, in my humble opinion.
The reason this isn't close to AGI is because it's not the agent doing the learning, and so while a relatively general learning algorithm produces the agent, the agent itself is not general even in the field of board games.