The division between conscious and other than conscious (I prefer to say this instead of "subconscious", it has no negative implication...

) is not the same as division between left and right brain hemispheres.
People do have images, mind chatter, feelings, all of that both in their conscious mind and other than conscious mind. So, both brain hemispheres function outside consciousness.
While PRing you use your both hemispheres in cooperation. PRing actually improves your everyday thinking by increasing the cooperation. -purjo