Since I do not own a water cooled VW, take this with a grain of salt.
I seem to remember that if one of the windings is bad on 1 injector, it will ground out all the injectors... Sounds like your problem, pull the harness, no ground, idles good. plug it back on / hits the bad winding in the injector, and presto no runny.
Change positions of the injectors if you can get it out w/o buggering up the seal, I bet your problem will follow the injector around.
KC - This advice is free and worth every penny you paid for it!!!