If you look at the progress graph of AlphaZero / LeelaChess (open source clone), and look at how it plays in its weaker iterations, it actually pretty closely correlates to how a weaker human chess player would play at those levels of strength (positional blunders, simple tactical mistakes, etc).

I've played chess for many years and I've played a few games against Leela (not full strength, the early versions). I never got the feeling that I was playing a computer.

Additionally, one of the primary ways of improvement past the ~2000 level is review of master games. Most people who make it to GM level have reviewed upwards of 5,000 master games or more over a significant period of time. So they build up a similar system of "weights" in their mind for different positional features, very similarly to the way the NN would approach the problem.

Sure, AlphaZero/Leela has not obtained generalized intelligence, but within a constrained sphere (Chess, Go, etc), it has come just about as close as is possible to that.