We experience a dream guided by the senses.
This model excludes the primary processor, consciousness itself.
Gamma rhythms are normally a synchronization in the subconscious theta frequencies when the overall consciousness reaches high gamma frequencies. The do called synchronized field they speak of is actually consciousness itself.
It would be difficult to detect true gamma frequency in primates as this frequency is usually associated o ly in humans after the prefrontal cortex has fully developed around age 25.
The gamma frequency is a much much higher frequency range that they present as it is the consciousness frequency of the mystics and is what gives them their abilities.