All of those are forms of "common mode" current. That typically IS the current that makes the most noise in an installation.
That's the reason I suggested the ground wire. The "common mode" (CM) current does not go out on one of the three wires and come back on another, the way 3 phase is supposed to. It essentially goes out on all three wires, and has to find another way back. Since it is often due to very small differences in timing of the VFD pulses, it tends to be high frequency.
If there is no ground wire in the bundle, then the current has to come back in some other path, which has typically got a good deal of "loop area" since the path will be along the surface of the machine, or down a ground wire, etc, and not necessarily close to the wire bundle. Loops make good antennas.
If you include a ground wire, and connect it at both ends, then that is the "lowest energy" path for the current to return on. If it is included in the bundle (or multi-conductor cable), then the loop area is very small, and the emission of noise will be small.
The ground wire can be just a wire, or it can be the shield on the cable. Either works well.