I serious doubt that the extra ground wire would help. The problem, as I see it is that the contacts between the bulb socket and the light assembly circuit board are horrible to say the least. So, as the high current moves across from the circuit board to the bulb socket, then back to the circuit board, it will create electrical sparks if the connections aren't perfect and this is where the problem lies. Over time, the sparks will eat away the metal contacts on both the bulb socket as well as the circuit board. It's a design flaw that won't be fixed with a simple wire...unless of course, that wire is soldered directly from the circuit board to the bulb socket!