It isn't apparent that anything you've just described is relevant. You've described how it works (in a highly simplified way), but that doesn't discredit the en

It isn't apparent that anything you've just described is relevant. You've described how it works (in a highly simplified way), but that doesn't discredit the end result. If there's truly a difference between "a capacity [and] an apparent capacity" then you should be able to point out what that difference actually is in practice. A child pressing play on a piano can only play one song. A LLM composing poems can compose billions upon billions of unique, never-before-seen poems about every conceivable topic. Whether under the hood it does that by "interpolating numbers in n-dimensional spaces" or "some incomprehensible arrangement of neurons linked together" or some other, yet to be invented process doesn't matter if the result is the same. The fact that you can explain how something works doesn't make it less real.