>Integers in normal programming represent data or instructions; instructions are hand coded, have rigidly defined semantics, are not differentiable and have no redundancy.
I can, and have, written programs using an evolutionary algorithm that then run on bare metal. None of the things you list are true for those programs, yet other than being computationally more expensive to train they work just as well as neural networks.
>I don't understand what you mean to say
The diffusness of weights across the whole model isn't an innate feature of deep learning models. It is a feature of sparse training data and little compute.