Looking for a new socket for ashtray lamp

If the aftermarket bulb socket is a 1 wire setup and it uses its metal housing for ground, why not attach the orange wire to the single wire bulb socket, and plug it in, then attach a ring terminal to end of the black wire, and attach that wire directly to the potmetal housing that the bulb plugs into to create the ground it needs. No need to over think this. At least this is what I would do.