Logic programming is part of what people now call GOFAI (Good Old Fashion AI). I think it still has a place in building intelligent systems, but these days most people equate AI to Machine Learning, unfortunately ...
I think that argument ignores that neural nets can learn the models that Pearl believes are important. And it's quite plausible that human reasoning works in similar way.
Pearl's career is all about causal networks, so he's slightly biased when it comes to survey like this.