This research has set up something of a straw man. I don't think anyone seriously talking about the workings of the brain has imagined it to be a simple digital computer for many years now. That's not the same thing as saying it's not a computer at all.

One of the current fruitful models is Dennett's, in which a (large) number of primitive responders (reflexes if you like) provide inputs to a serialised process that evaluates the competing and often conflicting promptings. in "Consciousness Explained" (ambitious title or what?) Dennett gives several examples very similar to the Cornell experiment, in the course of demonstrating that you are often NOT conscious when you think you are- but several tens of milliseconds later- it's almost as though the conscious mind is "telling you the story" of what it thinks happened.