Like insty said, DH is pretty much the done thing on Tornados now. Bear in mind that the avionics bays will have conditioned air bled from the engines throughout flight, so fitting a DH as soon as possible replicates the longhaul jet characteristics you mention. Also, the German airforce study that was mentioned went as far as dehumidifying the engines whilst on the ground by using specially adapted intake blanks. The photos comparing a stripped down DH engine to a 'normal' one of the same use showed a marked difference in wear and corrosion. The corrosion avoidance benefits would also apply to the rest of the airframe surrounding the avionics kit that is susceptible to creating condensation.
Hope this helps, and have you tried contacting the GAF about their study? You know how ruthlessly efficient those Germans are...!