The dollar bill thing seems silly. The fact you can draw anything without looking at a dollar bill means something is being stored, right? That means the brain stores information. There's no way out of that. And that fact that you can draw the dollar bill on cue means something is being retrieved. No way around that either. It doesn't matter how the information is represented. The brain as a computer analogy doesn't specify that "neurons are bits" or whatever.

I don't expect the brain to work like any computer we've ever built (which seems to be the point of view this writer is attacking), but I do expect that it has the capacity to store, retrieve, and process information and so the computer analogy seems useful.