I just was trying to nip this in the bud before you went down a path of changing out a pot only to find that did not solve the problem.
Yes, while the Z4000 uses an analog pot for the handle inputs, it's still a microprocessor controlled digital transformer. There is a minimum starting voltage and it's way higher than 0.6V more like 5V. It jumps from 0V setting to 5V when using the Z4000 remote and by handle on mine, I could not start below 9V when completely unloaded using the handles. Again, handle fully down, then slowly moving up, it stays 0 (reading 0.1V on my displays) right to 9-10V as the handle s moved further up. And there is plenty of "dead band" in the handle between 0 and first notch of power.
Also, the transformer will not boot up properly at power on and show the red LED warning indicator if the handles are not fully registered as being down at power on. If you had that problem, then OK, we start investigating the pot and gear timing relationship, but no, not for a 0.6V voltage leak when set to zero.
0.6V is normal and I've seen plenty do that much. It was the early versions that might leak as much as 1.6V or more that really needed the fix.
Again, I would just add some load- as simple as a light bulb to knock that down if you are having a problem. Otherwise, the mod will also fix it, but much more involved to open the transformer and solder in those tiny caps in the correct location.