That's underselling the product, a swarm of nanobots that are (literally, currently) beyond human understanding that are also the only way to construct certain materials and systems.

Inheritor of the Gray Goo apocalypse that covered the planet, this kind constructs an enormous mobile mega-fortress with a literal hive-mind, scouring the environment for raw materials and fending off hacking attempts by other nanobots. They even simulate other hive-minds to gain an advantage.

I disagree. A neural network is not learning it's source code. The source code specifies the model structure and hyperparameters. Then it compiled and instantiated into some physical medium, usually a bunch of GPUs, and weights are learned.

Our DNA specifies the model structure and hyperparameters for our brains. Then it is compiled and instantiated into a physical medium, our bodies, and our connectome is trained.

If you want to make a comparison about the quantity of information contained in different components of an artificial and a biological system, then it only makes sense if you compare apples to apples. DNA:Code :: Connectome:Weights