Of course H/A is a false identity, I would never say otherwise. It has nothing to do directly with T/R, however, a truly H/A person is carrying precious little garbage around in the dream. Things are lighter, more fun, just generally much better. Should you reach/experience T/R then being H/A makes the transition and and various ''side'' experiences much more .. hm... gentle.
T/R has been called the ''Divine Accident'' and H/A folks are much more accident prone (in the good sense of those words).
Love ya, Jed.