Molasses seems like it should attract critters, but I've read threads by many successful users, and no one has ever mentioned that problem.
Molasses works not only because of the sugars (if that was the case, we'd just use sugar water or something even cheaper), but because of the secondary- and micro-nutrients/trace elements it includes. If honey has that as well, then perhaps it would work. Something to look into, I guess. Although someone already mentioned that honey is far more expensive than molasses.