I remove broken off zinc's. I can't begin to tell you the number of zinc's I've retrieved out of overheating engine's, that were supposed to melt away. You've got to have a pretty good ground for the zinc to be sacrificial, it's moving around with the force of the water flow. You should not use tape, pipe dope etc... to the plug thread's. This can insulate the zinc and not allow it to do it's job. I might add something a little extra here, when replacing your zinc's, unscrew the zinc from the plug, put a little "red lock-tite" to the threads (the threads on the zinc, not the plug to the cooler), put the zinc back into the plug and snug it down. This will help keep your zinc's from coming loose from the plug's. Try it, it work's. Just my opinion, but what do I know

. Frank