I have the exact same symptom (see this [http://www.ifixit.com/Answers/View/14150/Why+won%27t+LCD+from+12%22+G4+1G+work+in+G4+1.33|question]).
The Bookyard and iFixit both indicate that the LCDs are usable in all
models.
I am going to try the LVDS cable out of the donor machine, but that means a lot more dismantling first. I will post how I get on.
Did you find a solution?
Anthony