Classical AI was about some genius trying to devise the most genius computer inference algorithm. But any single genius can only do so much in limited time and it is difficult to make them work together.
Whereas LLMs are not genius, they are simply using statistics to predict what is the accumulated intellect on the internet. They are simple but they combine the output of millions of minds, which no human genius could ever do.
They are a brain addition machine, rather than super-intelligent by themselves. But when you add together the outputs of many minds you get powerful general purpose output.