It's obvious we are different, but if we could answer exactly how with sufficient rigor, we would already have better AI and be asking different questions. :p

I readily admit that LLMs are an exciting potential piece of a much bigger puzzle, but this could easily be like trying to parse HTML only using regular expressions: It works great on trivial input, but no amount of minor would let it truly solve the problem, because it lacks some higher structure of organization or meaning.