> They are statistical token generators whose results are dependent upon their training data set and involve a degree of randomness.

You haven't demonstrated why this matters.

> Nothing more.

Are you contending that complex systems cannot be more than the sum of their parts?

A market is nothing more than offers and counter offers.

A ant colony is nothing more than scent trails.

All life on earth is nothing more than reproduction with variation.

> This still falls under the purvey of statistical token generation.

Stating the mechanism does nothing to provide insight into capability. For instance: a nuclear power plant boils water by using fuel rods for heat. What does that tell us about the capability of nuclear power?

> This is not "doing" or "understanding" math.

Asserting something purely by stating it does not prove anything but that you intuitively believe it to be true.