I have read Trevor Thompson's web site pretty thoroughly, his short paper about what his research was about and a little of his dissertation. Just parts of his conclusion and his definition of Phenomenal Representationalism. Quoting from his definition of Phenomenal Represenationalism in his dissertation:
Phenomenal Representationalism is the view that our perceptions of the world consist of conscious, phenomenal experiences. We usually take these to be perceptions of the actual external world, or a close approximation thereof. However Phenomenal Representationalism also holds that the world which exists independently of our perceptions/experiences does not necessarily have the same form as the experiences themselves. The form of the external world, which causes our conscious experiences to exist, is unknown to us.
While this describes Tom's model of PMR as a Virtual Reality, it ends with the part highlighted in red. That is, it does not cover the nature of the Consciousness System and the how and why of the creation of this VR for us to
experience. This is of course beyond the realm of science and philosophy as now constituted and practiced. It is certainly an impressive dissertation and a good description of Tom's model in terms of academic philosophy.
I have not yet found where Dr. Thompson places his Phenomenal Representationalism in terms of Monism and/or Idealism.