[krackers]

I think you have to loosely interpret "randomly wired" as "fully connected", i.e. no predefined structure (because an actually randomly wired net probably wouldn't learn well). The thing is as we've seen with convnets and now transformers, the structure of the network actually matters quite a bit. Even though a fully connected network could theoretically learn the right weights so that it emulates a convnet, in practice this is too hard to do. See the discussion at https://news.ycombinator.com/item?id=34748190