I have had situations where the ground wire hums louder than without it.
My guess is that there is some other change to the grounding of the TT which has made a loop when the grounding wire is connected. Or the connection quality has changed somewhere, the resistance of a connection has risen. Maybe an interconnect?
If possible, verify the source of the hum by running the amp by itself, (no source IC connected -mute the amp if possible) then add linestage by itself, then phono amp, then TT. When you hear the hum start, temporarily put a ground buster on that newest device to see if the hum goes away. Experimenting like this will help you find the exact cause.
You could also open up the Z if it's off warranty and look for anything weird, like burning marks on PCB, leaking caps, solder joints especially near the TT grounding lug. Twist all the IC connectors a little to break any corrosion. With 60dB gain, the slightest change in resistance can make a hum.