230304-1332 EDT
The title of the thread does not say anything about the source voltages. However, the first post indicates a single voltage source feeding parallel conductors. If these parallel conductors are the same size and material, connected together at both the input end of the cable and at the output end, and if termination points at each cable end are near zero impedance relative to cable impedance, then their currents will be nearly identical, and the circuit is capable of carrying twice the current of a single conductor.
If the source voltage at the input of each wire is different, and the output ends of the cables are connected, then a current will exist in the conductors with no load on the connected point of the wires. This current is the voltage difference between the sources divided by the impedance of series total of the two wires. But with sufficient load at the load end, then current will flow toward the load in both conductors, but load current on each source will not be the same.
.