I think this article focuses on too much on some nuances of neuroscience, that in the end it becomes misleading. I guess a similar example would be making a statement like, all programming languages are equally useful since they are all Turing complete. It has some basis of truth, but is very misleading as in the real world, Javascript and QBasic are used in radically different ways.
Though I no longer am practicing neurosurgery, I did do 6 years of training in neurosurgery and probably treated thousands of patients with various brain issues.
So let me give my perspective on the first myth, and if I have time may address some of the other ones as well.
> Myth number one is that specific parts of the human brain have specific psychological jobs.
What is true is that specific parts of the brain have very specific physiological jobs. Psychological function is likely complex enough that multiple parts of the brain are involved, but there are areas when affected, that can have certain psychological effects. Let me give a couple of cases that illustrate both the physiological and psychological aspects.
For the physiological case, we had a patient that had seizures that could not be treated with medicine, and required some of the brain tissue to be removed. Unfortunately, the area was very close to the speech areas of the brain. What we ended up doing is putting the patient to sleep, opening up the skull and brain covering (dura), and then waking the patient back up. Neuropsychologists tested the patient's ability to name things and speak as we zapped small areas of the brain with electrodes. When we hit a critical area, the patient's speech stopped instantly. Doing this, we were able to map the speech areas with millimeter accuracy so we could safely do the surgery.
In terms of psychological function, it is know that the front part of the brain is involved in impulse control. I saw an older patient with his family who had a large tumor there. I asked them if he had done anything impulsive recently. They had surprised looks on their faces as they said, "How did you know?" and then related how the man, who had been a very upstanding person all his life, had done something that had gotten him arrested.
So I would say, for the general non-specialist, the idea that brains have specific parts that do specific things is probably less of a myth than some notion of all parts of the brain doing everything/most things.
A computer analogy to what the article is doing would be like saying that because there is no one specific part of a computer that is responsible for playing Youtube videos (the CPU, GPU, Memory, SSD, PCI system would all be involved) it is myth that computers have specialized parts.