Commonplace hypotheses like these give me strong "No True Scotsman" vibes, but I'm often wrong. Let's agree on a method, and I'll test it.
I think what our models are missing is recursion on themselves. You and I can be self-referential, and we are capable of meta thought. We are also capable of "internal dialogue" where we speak and reason internally.
The LLMs at present lack even state or memory. Arguably those aren't necessary for "reasoning" capabilities.
I wonder how far off "stochastic parrot" is from what we do naturally. I have an image in my head of how we think using associated words/concepts/pictures for learning and I can't imagine it is too different from statistically associated concepts/words.
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This is sort of scatterbrained, and I apologize. I don't have enough time to write a more concise response.
Kids parrot their parents before they understand the meaning of what they are doing or saying. Meaning arises from a much more complex process than seeing/repeating. I think the same will be true with LLMs. True reasoning capabilities will be another revolution entirely.
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This just occurred to me; LLM's have a cargo cult level understanding of anything they've been trained on. Correct answers are actually statistical flukes -- purposeful because that's how we trained the models -- but not actually significant in terms of reasoning.