Originally Posted by
123CNC
Unfortunately the markings on your Chinese wiring does not clearly reveal if it is shielded cable or not. The one picture of the multi-conductors revealed, your motor power wires, don't show the shield if it is there and if they may have trimmed it back with the outer insulation. The multi pin connectors you pictured often incorporate a way to ground the shield to this connector and then through it's mount or housing. It isn't externally visible, you would have to open one up to visually verify.
However, with your new description of the problem stating that it seems worse or more evident under heavy cuts, or heavy load, then I would be more inclined to look for mechanical error, or even simply over taxing your available power and torque. Your motor to screw connectors or your screw to nut (ball or acme) or even the nut to table or slide are all mechanical joints that might seem tight under no or low load but flex or give way under heavy cuts or high load. The best approach in this case is to load and unload each joint and rig a dial indicator or other means to measure the relative 'play' in the joints, or component motion relative to next component in the system.