Interesting 'case study.' I would expect more information if this was a scientific case study. It is more like a blog.

What protocol/modality was used? They say reward/inhibit but little about the equipment and such.

This appears to be "neuro stimulation" more than neurofeedback. The vegetative patient does nothing to effect his brain' s responses.

I have read about a study being done using a TENS like system for brain stimulation. This sounds similar.