I also found the approach interesting but I've also noticed real players have personalities, i.e. do they push for open or closed positions, and they have tactical strengths and weaknesses. So the probabilities of different events needs weighting.

I also coach kids and none of their moves are random in the mathematical sense. They dont play the best moves but the moves are understandable once you hear their reasoning, it's just their reasoning doesn't properly evaluate the immediate position, future shapes and transformations.

For example looking at my chess.com profile I find basically every hung piece, and I am excellent at taking advantage of pinned piece opportunities and almost never allow an imbalance due to pinned piece, but I have blind spot when it comes to clearance sacrifices both taking advantage of them and allowing them.

So I suspect a good way to approximate a human would be to bork the evaluation based on a profile and then pick from that narrowed set of candidate moves at random. Which is more or less my understanding of how the chess.com bots work