I've done some reading into the subject, even though the second page is a 404. The first page was not very clear logic to explain the notion of "intuitive intellect" although it did give a clear account of the history of the theory.
In short it's not possible for a mind that's made of matter, that exists within a limited time frame, so the question is equivalent to "does god exist" and "what is a mind that exists in other dimensions of space time". Scientifically, and for pragmatic philosophy, the answer is a god like intellect has no relation to the current understanding of time and space.
Without a doubt, an intuitive intellect can only be ignorant of all knowledge, else it must exist in a non-linear time sequence whereby it has learnt everything that can happen before it has happened.
For a start, God-Mind is not a logical concept, that there should be one or many gods is entirely arbitrary and un-knowable, and to attribute no ego to a mind is also immaterial. Nothing in reality has a singular entity without parallel, and there is no logical reason to suggest that god has a singular entity. Saying that there is only one universe, is like saying there is only one habitable planet, just because we live in a particular one, unable to see beyond it. So... Gods, God, Mechanism(s) are subjective convictions, as conjectural as UFO's and Ghosts, whether there is one holy spirit or many.
So what do the pages say on the subject? Apparently, the intellect would be non-deductive. It has no need to perform any processes of logic, maths, prediction, comparison, opposition, because it knows everything intuitively without resorting to human like rational thought.
The God Intellect, we can call it, also does not have the same relationship with memory, subconcious, and sense perception, because it knows everything relevant to itself. It hears all possibilities and senses and memories like millions of tv's simultaneously and millions of memories effortlessly because there is no delineation in between knowing everything and thinking of a single thing. The intuitive intellect supposedly is aware of solutions without having thought of them, because it's subconcious and concious are merged into some kind of singular super efficient system.
Spiritualists who belive in devine thought within the human self, like Sikh, who believe that their priests pass on the touch and knowledge of devine mental clarity, see god as something else than an intuitive creator. They qualify intuitive thought as the third mode of thought after sense perception and rational thought, simply the act of being aware and controlling the functions of the mind totally.
So, if an awareness never had to resort to logical deduction, because it knew everything already, it would be essentially pure in it's access to all information, free from cause and effect, from sense and purpose, else it would be an empty mind, which does not doubt anything because it does not rationalize, it is in a form of simple stasis.
a mind can occupy a state of relative stasis which can be termed intuitive intelect, but a mind cannot be free of cause and effect while existing in a linear time sequence, and also be within the universe or be made of matter, because infinite amounts of time are necessary to learn the answer to every bit of information that can exist and to predict how they change through the entirety of time...