Groundwire floating in the breeze

So I bought a pair of interconnects for my turntable rig. Ones with an exposed ground wire. Turns out, attaching the ground wire causes more hum than not attaching. So the ground wire is not connected to anything, and is floating in the breeze, so to speak. Do you think the ground wire floating in the breeze is picking up any RF or other interference? Would I be better off using a pair of interconnects with no exposed ground wire?